Quoc Dat Phung
Quoc Dat Phung
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Prove the Area of a Square using Integral Calculus
In this video, I will show you how to prove the area of a square using integral calculus. First, you use the area formula under a function, which is equal to the integral from a to b of f(x), where f(x) is a curve of a straight line. Then, we evaluate that integral. This is an important concept to master for Calculus students whether they are taking AP Calculus in high school or they are taking calculus at university.
มุมมอง: 228

วีดีโอ

Prove the Area of a Rectangle using Integral Calculus2:58Prove the Area of a Rectangle using Integral Calculus
Prove the Area of a Rectangle using Integral Calculus
มุมมอง 6319 ชั่วโมงที่ผ่านมา
In this video, I will show you how to prove the area of a rectangle using integral calculus. First, you use the area formula under a function, which is equal to the integral from a to b of f(x), where f(x) is a curve of a straight line. Then, we evaluate that integral. This is an important concept to master for Calculus students whether they are taking AP Calculus in high school or they are tak...
Trigonometric Substitution (3 Formulas) - Calculus17:50Trigonometric Substitution (3 Formulas) - Calculus
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มุมมอง 8914 วันที่ผ่านมา
In this video, I will show you how to use trigonometric substitution to solve integrals. There are 3 forms or formulas you need to know. I go through plenty of examples with trig substitution because this is an important topic. You should use trigonometry substitution when you cannot solve the integral with u substitution or integration by parts. There are three forms you need to know: the squa...
Integral of sqrt(x² - 2x)7:18Integral of sqrt(x² - 2x)
Integral of sqrt(x² - 2x)
มุมมอง 7121 วันที่ผ่านมา
In this video, I will show you how to use trigonometric substitution to solve the integral of sqrt(x² - 2x). You should use trigonometric subsitution when you cannot solve the integral with u substitution or integration by parts. There are three forms you need to know: the square root of (x^2-a^2), the square root of (x^2 a^2), and the square root of (a^2-x^2). In the first case, x=asinθ. In th...
Solving the Integral in MY HERO ACADEMIA - Calculus Anime10:18Solving the Integral in MY HERO ACADEMIA - Calculus Anime
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มุมมอง 797หลายเดือนก่อน
In this video, I will show you how to solve the integral from the anime My Hero Academia using Calculus! It is quite a difficult integral but it is not impossible if you know about hyperbolic functions. I hope you enjoy this video, please don't forget to subscribe if you like my solution!
Integral of sqrt(3-7x²) using trigonometric substitution9:10Integral of sqrt(3-7x²) using trigonometric substitution
Integral of sqrt(3-7x²) using trigonometric substitution
มุมมอง 247หลายเดือนก่อน
In this video, I will show you how to use trigonometric substitution to solve the integral of sqrt(3-7x²). You should use trigonometric subsitution when you cannot solve the integral with u substitution or integration by parts. There are three forms you need to know: the square root of (x^2-a^2), the square root of (x^2 a^2), and the square root of (a^2-x^2). In the first case, x=asinθ. In the ...
Integral of (x² - 1)^-1.5 with trigonometric substitution4:44Integral of (x² - 1)^-1.5 with trigonometric substitution
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มุมมอง 177หลายเดือนก่อน
In this video, I will show you how to use trigonometric substitution to solve the integral of (x² - 1)^-1.5. You should use trigonometric subsitution when you cannot solve the integral with u substitution or integration by parts. There are three forms you need to know: the square root of (x^2-a^2), the square root of (x^2 a^2), and the square root of (a^2-x^2). In the first case, x=asinθ. In th...
Integration By Parts - Calculus I27:31Integration By Parts - Calculus I
Integration By Parts - Calculus I
มุมมอง 251หลายเดือนก่อน
In this video, I will show you how to solve integrals using Integration By Parts. You should use integration by parts when you cannot solve the integral with u substitution or trigonometric substitution. Usually, integrals that can be solved by integration by parts will have two parts in the integrand, the u part and the v part. We use the acronym LIATE, which stands for log, inverse trigonomet...
Variables and Data Types in Python are Easy 🐍9:31Variables and Data Types in Python are Easy 🐍
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มุมมอง 56หลายเดือนก่อน
In this video, we will dive deep into the fundamental concepts of variables and data types, essential for any Python programmer. We'll begin by explaining what variables are and how they are used to store and manipulate data in Python. We'll cover variable naming conventions, assignment statements, and explore the different data types available in Python, including integers, floats, strings, bo...
How to Get User Input in Python (very easy) 🐍2:30How to Get User Input in Python (very easy) 🐍
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มุมมอง 792 หลายเดือนก่อน
I will show you how to write a program to receive user input in Python. We'll start by demonstrating how to prompt the user for a string input using the input() function. Then, we'll move on to integer input and show you how to convert a string input into an integer using the int() function. Next, we'll tackle float input and explore how to convert string inputs into floating-point numbers usin...
Commenting in Python (Multi-line) 🐍1:58Commenting in Python (Multi-line) 🐍
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มุมมอง 3382 หลายเดือนก่อน
In this video, I will show you how to comment in Python. Comments are used to tell the compiler to ignore one or more lines of code. Commenting also allows other people to understand what your code does, and it is a great wait to show you explanations. There are two ways to comment in Python. One way is to use the hastag symbol #, and the other way is to use the triple single quotes for multi l...
Integral of cot(x)ln(sinx) using Substitution2:55Integral of cot(x)ln(sinx) using Substitution
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มุมมอง 1072 หลายเดือนก่อน
In this video, I will show you how to solve the indefinite integral of (cotx)ln(sinx) using u substitution. This is an important topic for students taking Calculus, whether it is AP Calculus or Calculus in university. The idea behind u-substitution is to simply the integrand. For example, we can simplify 1/(2x 4) with 1/u where u=2x 4. The second step is to differentiate u with respect to x, th...
How to Prove or Disprove Big Ω - Introduction to Computer Science20:31How to Prove or Disprove Big Ω - Introduction to Computer Science
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มุมมอง 1.2K2 หลายเดือนก่อน
In this video, I will show you how to prove or disprove Big Ω (Big Omega). I will also go over the formal definition of the formula Big Ω using asymptotic notation to determine the runtime of an algorithm. For example, you are asked to prove that a function 2n 3 is Ω(n). By the definition of big Ω, f(n) is Ω(g(n)), or f(n) is Big Omega of g(n) if you can find a positive constant c and a positiv...
Print() and F-Strings in Python Explained ✔️2:45Print() and F-Strings in Python Explained ✔️
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มุมมอง 662 หลายเดือนก่อน
Hi everyone, in this video, I'm going to show you how to use f strings along with the print statement in Python. F-strings, also known as formatted string literals, are a feature introduced in Python 3.6 to simplify string formatting. They provide a concise and convenient way to embed Python expressions inside string literals for formatting. To use an f-string, you simply prefix the string with...
Python for Beginners - Learn Python in 1 Hour (2024)1:00:00Python for Beginners - Learn Python in 1 Hour (2024)
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มุมมอง 6273 หลายเดือนก่อน
This free 1 hour Python course is for people who want to learn how to program in Python. You do not need to have any experience with coding before hand. If you already have programming experience in other languages other than Python, this course is design to be concise so you can learn all the core syntax in one hour. Python is probably one of the most popular languages used at big tech compani...
Integral of (e^x)/(e^2x+2e^x+1)1:46Integral of (e^x)/(e^2x+2e^x+1)
Integral of (e^x)/(e^2x+2e^x+1)
มุมมอง 8114 หลายเดือนก่อน
Integral of (e^x)/(e^2x 2e^x 1)
Integral of e^(x+e^x)1:55Integral of e^(x+e^x)
Integral of e^(x+e^x)
มุมมอง 1.7K4 หลายเดือนก่อน
Integral of e^(x e^x)
Integral of cos(sqrt(t)) / sqrt(t)1:45Integral of cos(sqrt(t)) / sqrt(t)
Integral of cos(sqrt(t)) / sqrt(t)
มุมมอง 4444 หลายเดือนก่อน
Integral of cos(sqrt(t)) / sqrt(t)
Integral of sinx * sin(cosx)1:36Integral of sinx * sin(cosx)
Integral of sinx * sin(cosx)
มุมมอง 924 หลายเดือนก่อน
Integral of sinx * sin(cosx)
Integral of sin^2(x) * cos(x)1:25Integral of sin^2(x) * cos(x)
Integral of sin^2(x) * cos(x)
มุมมอง 1074 หลายเดือนก่อน
Integral of sin^2(x) * cos(x)
Integral of (x^3)cos(x^4+2)1:35Integral of (x^3)cos(x^4+2)
Integral of (x^3)cos(x^4+2)
มุมมอง 2265 หลายเดือนก่อน
Integral of (x^3)cos(x^4 2)
Integral of x / sqrt(1 - 4x²)1:56Integral of x / sqrt(1 - 4x²)
Integral of x / sqrt(1 - 4x²)
มุมมอง 3625 หลายเดือนก่อน
Integral of x / sqrt(1 - 4x²)
Integral of x²/(x+1)^33:08Integral of x²/(x+1)^3
Integral of x²/(x+1)^3
มุมมอง 1.4K5 หลายเดือนก่อน
Integral of x²/(x 1)^3
Integral of x^3/(x^2+5)^23:40Integral of x^3/(x^2+5)^2
Integral of x^3/(x^2+5)^2
มุมมอง 1.1K5 หลายเดือนก่อน
Integral of x^3/(x^2 5)^2
Integral of 1/(x² + 2)2:45Integral of 1/(x² + 2)
Integral of 1/(x² + 2)
มุมมอง 1.8K6 หลายเดือนก่อน
Integral of 1/(x² 2)
Integral of sin(x)cos(x)1:30Integral of sin(x)cos(x)
Integral of sin(x)cos(x)
มุมมอง 9086 หลายเดือนก่อน
Integral of sin(x)cos(x)
Integral of 1/(x² + a)2:45Integral of 1/(x² + a)
Integral of 1/(x² + a)
มุมมอง 1566 หลายเดือนก่อน
Integral of 1/(x² a)
Prove 2n+3 is NOT O(1)2:29Prove 2n+3 is NOT O(1)
Prove 2n+3 is NOT O(1)
มุมมอง 1K6 หลายเดือนก่อน
Prove 2n 3 is NOT O(1)
Prove 2n+3 is O(n)2:16Prove 2n+3 is O(n)
Prove 2n+3 is O(n)
มุมมอง 2K6 หลายเดือนก่อน
Prove 2n 3 is O(n)
Prove 5n² + 3nlogn + 2n + 5 is O(n²)2:00Prove 5n² + 3nlogn + 2n + 5 is O(n²)
Prove 5n² + 3nlogn + 2n + 5 is O(n²)
มุมมอง 8026 หลายเดือนก่อน
Prove 5n² 3nlogn 2n 5 is O(n²)

ความคิดเห็น

  • @iTube4U
    @iTube4U 3 วันที่ผ่านมา

    Are u rep,ying with auto reply?

    • @QuocDatPhung
      @QuocDatPhung 2 วันที่ผ่านมา

      Nope. I always redirect people to my CS playlist. Sometimes people watch something like Selection sort and they ask if I can explain QuickSort but they don't know that I already made it, in the playlist.

  • @Sonny2009
    @Sonny2009 3 วันที่ผ่านมา

    I don't know if yall notice something.. May be you all got too lost in the jungle of equation... But he also has one of the most beautiful smile! I bet if didn't know calculus he could make a good living by becoming a Dental Office Model or some shyt like that.

  • @user-hz7nf1ur8i
    @user-hz7nf1ur8i 4 วันที่ผ่านมา

    thank you i can sleep well now knowing i know stuff

    • @QuocDatPhung
      @QuocDatPhung 3 วันที่ผ่านมา

      You're welcome! You'll probably like my Binary Search video. Please kindly share and subscribe~ you can find all of my CS videos in this link: th-cam.com/play/PLeTO6OT3-FKmuxOu4RtupTay1yrMp6QGC.html

  • @GlebC-ou7iz
    @GlebC-ou7iz 4 วันที่ผ่านมา

    This tutorial was great! Very clear and actionable.

    • @QuocDatPhung
      @QuocDatPhung 3 วันที่ผ่านมา

      Thank you Gleb! You'll probably enjoy my other sort videos. Please kindly share and subscribe~ you can find all of my CS videos in this link: th-cam.com/play/PLeTO6OT3-FKmuxOu4RtupTay1yrMp6QGC.html

  • @naaaaur
    @naaaaur 5 วันที่ผ่านมา

    thank youu!

    • @naaaaur
      @naaaaur 5 วันที่ผ่านมา

      that was so good

    • @QuocDatPhung
      @QuocDatPhung 3 วันที่ผ่านมา

      You're very welcome Naaaaur! Please don't forget to share with your classmates and kindly subscribe ~ you can find all of my Calculus II videos in this link: th-cam.com/play/PLeTO6OT3-FKmuCeO97iKt_Aibx-a938JA.html

  • @calvinbutz8665
    @calvinbutz8665 5 วันที่ผ่านมา

    Quoc, I just found your channel a few days ago while studying for my exam and I want to thank you for your amazing videos! Would love to see more calc 2 videos.

    • @QuocDatPhung
      @QuocDatPhung 3 วันที่ผ่านมา

      Thank you Calvinbutz! Please don't forget to share with your classmates and kindly subscribe ~ you can find all of my Calculus II videos in this link: th-cam.com/play/PLeTO6OT3-FKmuCeO97iKt_Aibx-a938JA.html

  • @iTube4U
    @iTube4U 6 วันที่ผ่านมา

    thank you or this, by the last 1,4 I did it my self

    • @QuocDatPhung
      @QuocDatPhung 3 วันที่ผ่านมา

      You're welcome iTube! Please kindly share and subscribe~ you can find all of my CS videos in this link: th-cam.com/play/PLeTO6OT3-FKmuxOu4RtupTay1yrMp6QGC.html

  • @xc7525
    @xc7525 7 วันที่ผ่านมา

    omg thank u

  • @suleimanparizadi1819
    @suleimanparizadi1819 7 วันที่ผ่านมา

    OMG you are a genius

    • @QuocDatPhung
      @QuocDatPhung 7 วันที่ผ่านมา

      Thank you Suleimanparizadi! You'll probably enjoy my other sort videos. Please kindly share and subscribe~ you can find all of my CS videos in this link: th-cam.com/play/PLeTO6OT3-FKmuxOu4RtupTay1yrMp6QGC.html

  • @barakvalleyexpress4981
    @barakvalleyexpress4981 7 วันที่ผ่านมา

    298.15°

  • @David-gk9lk
    @David-gk9lk 8 วันที่ผ่านมา

    Found you recently and I am glad I did!!

    • @QuocDatPhung
      @QuocDatPhung 3 วันที่ผ่านมา

      Thank you David! Please don't forget to share with your classmates and kindly subscribe ~ you can find all of my Calculus II videos in this link: th-cam.com/play/PLeTO6OT3-FKmuCeO97iKt_Aibx-a938JA.html

  • @AnonymousAlien2099
    @AnonymousAlien2099 10 วันที่ผ่านมา

    I was struggling with this so much. Thanks and love from India.

    • @QuocDatPhung
      @QuocDatPhung 3 วันที่ผ่านมา

      Thank you Alien! Please don't forget to share with your classmates and kindly subscribe ~ you can find all of my Calculus II videos in this link: th-cam.com/play/PLeTO6OT3-FKmuCeO97iKt_Aibx-a938JA.html

  • @user-uz6yb8dx8s
    @user-uz6yb8dx8s 11 วันที่ผ่านมา

    Great video! Very helpful.

    • @QuocDatPhung
      @QuocDatPhung 3 วันที่ผ่านมา

      Thank you! Please don't forget to share with your classmates and kindly subscribe ~ you can find all of my Calculus II videos in this link: th-cam.com/play/PLeTO6OT3-FKmuCeO97iKt_Aibx-a938JA.html

  • @thuongnguyenthi8273
    @thuongnguyenthi8273 11 วันที่ผ่านมา

    Anh ơi, anh có thể lên video hướng dẫn rubik 3×3 ko ạ?

  • @KHOATRANANH-po5pv
    @KHOATRANANH-po5pv 12 วันที่ผ่านมา

    anh giảng hay quá, anh nói tiếng anh dễ nghe mà chuẩn. Mong anh sản xuất thêm nhiều video hay và chất lượng nữa ạ.

    • @QuocDatPhung
      @QuocDatPhung 12 วันที่ผ่านมา

      Cám ơn em! Em nhớ chia sẽ cho các bạn học và đăng kí ủng hộ anh nhé. Những bài dạy toán của anh ở đây: th-cam.com/play/PLeTO6OT3-FKmuCeO97iKt_Aibx-a938JA.html

  • @yusufsalie
    @yusufsalie 14 วันที่ผ่านมา

    thank you the explanation is very simple , any tips books to read to improve my logic and understanding of python i am a beginner currently busy with zero to hero course on udemy.

    • @QuocDatPhung
      @QuocDatPhung 14 วันที่ผ่านมา

      Yes I do have a free 1h Python course! You can find it here: th-cam.com/play/PLeTO6OT3-FKnRuP8j_qr-hrfSUqh0sqdx.html

  • @jamessullenriot
    @jamessullenriot 14 วันที่ผ่านมา

    Just sort them and check if they are equal and done. If I see a solution like the optimal one give (and I've seen a bunch of videos with people doing this solution), I'm going to assume that whoever is implementing this is going to over engineer the most basic tasks in the code base and its going to be a nightmare to support

  • @g.r.4372
    @g.r.4372 14 วันที่ผ่านมา

    I was 100% from beginning to end. You're a great teacher.

    • @QuocDatPhung
      @QuocDatPhung 13 วันที่ผ่านมา

      Thank you G.R! Please kindly share and subscribe~ you can find all of my CS videos in this link: th-cam.com/play/PLeTO6OT3-FKmuxOu4RtupTay1yrMp6QGC.html

  • @nodira608
    @nodira608 15 วันที่ผ่านมา

    thank you so much man, you are a lifesaver

    • @QuocDatPhung
      @QuocDatPhung 13 วันที่ผ่านมา

      You're very welcome! Please don't forget to share with your classmates and kindly subscribe ~ you can find all of my Calculus II videos in this link: th-cam.com/play/PLeTO6OT3-FKmuCeO97iKt_Aibx-a938JA.html

  • @stormShadow64
    @stormShadow64 15 วันที่ผ่านมา

    awesome video, very clear

    • @QuocDatPhung
      @QuocDatPhung 15 วันที่ผ่านมา

      Thank you! Pleased kindly share and subscribe~ you can find all of my CS videos in this link: th-cam.com/play/PLeTO6OT3-FKmuxOu4RtupTay1yrMp6QGC.html

  • @ethanhyde3872
    @ethanhyde3872 15 วันที่ผ่านมา

    Better than Abdul!

    • @QuocDatPhung
      @QuocDatPhung 15 วันที่ผ่านมา

      Thank you Ethan! Pleased kindly share and subscribe~ you can find all of my CS videos in this link: th-cam.com/play/PLeTO6OT3-FKmuxOu4RtupTay1yrMp6QGC.html

  • @yousefhany-uk4ho
    @yousefhany-uk4ho 15 วันที่ผ่านมา

    I really like your explination.

    • @QuocDatPhung
      @QuocDatPhung 15 วันที่ผ่านมา

      Thank you Yousef! I think you'll like my Binary Search video. Pleased kindly share and subscribe~ you can find all of my CS videos in this link: th-cam.com/play/PLeTO6OT3-FKmuxOu4RtupTay1yrMp6QGC.html

  • @oeunbunsan2509
    @oeunbunsan2509 15 วันที่ผ่านมา

    Hello Quoc, I love your teaching anyway how about DSA stacks queues?😍😍😍😍😍😍😍😍

    • @QuocDatPhung
      @QuocDatPhung 15 วันที่ผ่านมา

      Hi OeunBusan! Thanks for letting me know I added these topics into my long list of requested topics and I will work on them as soon as I can!

  • @NINETV-xi6vl
    @NINETV-xi6vl 15 วันที่ผ่านมา

    I love your performance You was developed my level I came from Rwanda 👋👋👋👋👋👋👋

    • @QuocDatPhung
      @QuocDatPhung 15 วันที่ผ่านมา

      Hi there! Thanks so much I'm glad you enjoyed! Please kindly subscribe and share with others!

  • @danny7v789
    @danny7v789 16 วันที่ผ่านมา

    Thx

    • @QuocDatPhung
      @QuocDatPhung 16 วันที่ผ่านมา

      Thank you! Please kindly share this video and subscribe. It means a lot!

  • @bobedge289
    @bobedge289 17 วันที่ผ่านมา

    Lemma??

  • @whopper_s
    @whopper_s 19 วันที่ผ่านมา

    Got A=6m^2. Thanks for the help!

  • @khoadoan8966
    @khoadoan8966 20 วันที่ผ่านมา

    Bro, you're amazing, explaining the complex processes so easily. Haven't touched DSA for a long time, and then having to learn it all over again after being laid off is really hard for me as I'm not as young. You've just helped me understand fuzzy complex knowledge really really well. Thank you !

    • @QuocDatPhung
      @QuocDatPhung 20 วันที่ผ่านมา

      Thank you Khoa! I'm really happy to hear that! Pleased kindly share ~ you can find all of my CS videos in this link: th-cam.com/play/PLeTO6OT3-FKmuxOu4RtupTay1yrMp6QGC.html

    • @khoadoan8966
      @khoadoan8966 20 วันที่ผ่านมา

      @@QuocDatPhungI’ll share it, and have a look at your playlist. Really appreciate your contents.

  • @user-kt4sc7yi6e
    @user-kt4sc7yi6e 21 วันที่ผ่านมา

    Bros scaring me with that smile😅

  • @Harshavardhan-pk3pk
    @Harshavardhan-pk3pk 21 วันที่ผ่านมา

    good explaination must watch

    • @QuocDatPhung
      @QuocDatPhung 20 วันที่ผ่านมา

      Thank you! Pleased kindly share and subscribe~ you can find all of my CS videos in this link: th-cam.com/play/PLeTO6OT3-FKmuxOu4RtupTay1yrMp6QGC.html

  • @calculus988
    @calculus988 22 วันที่ผ่านมา

    Quoc Dat Phung, I'm so glad i found your channel, i feel incredibly fortunate. It yielded positive results. Thank you

  • @gurunandan3240
    @gurunandan3240 24 วันที่ผ่านมา

    Thanks you cleared my ver first and most annoying doubt for integrals.❤❤❤❤

    • @QuocDatPhung
      @QuocDatPhung 20 วันที่ผ่านมา

      You're very welcome! Please don't forget to share with your classmates and kindly subscribe ~ you can find all of my Calculus II videos in this link: th-cam.com/play/PLeTO6OT3-FKmuCeO97iKt_Aibx-a938JA.html

  • @ereheyaegar8896
    @ereheyaegar8896 25 วันที่ผ่านมา

    i feel like im gonna fail tomorrow to be honest

    • @QuocDatPhung
      @QuocDatPhung 20 วันที่ผ่านมา

      You're not going to fail! If you need help you can find all of my Calculus II videos in this link: th-cam.com/play/PLeTO6OT3-FKmuCeO97iKt_Aibx-a938JA.html

    • @Heelo_0
      @Heelo_0 16 วันที่ผ่านมา

      How did it go? Mine's tomorrow💀

    • @QuocDatPhung
      @QuocDatPhung 16 วันที่ผ่านมา

      @@Heelo_0 Good luck!

    • @Heelo_0
      @Heelo_0 16 วันที่ผ่านมา

      @QuocDatPhung thanks brother, take care

    • @AnonymousAlien2099
      @AnonymousAlien2099 10 วันที่ผ่านมา

      Any updates? How did it go for y'all 💀

  • @oeunbunsan2509
    @oeunbunsan2509 27 วันที่ผ่านมา

    bigO notaion is very confuse ):

    • @QuocDatPhung
      @QuocDatPhung 26 วันที่ผ่านมา

      No worries! I have videos on Big O! You can find it in this link: th-cam.com/play/PLeTO6OT3-FKmuxOu4RtupTay1yrMp6QGC.html

  • @AbhishekVerma-kj9hd
    @AbhishekVerma-kj9hd 27 วันที่ผ่านมา

    Don't you think c^n is bigger than n^c

    • @QuocDatPhung
      @QuocDatPhung 27 วันที่ผ่านมา

      Yes, in the video I said that c^n is bigger than n^c at 5:20

  • @herecomessubking3104
    @herecomessubking3104 28 วันที่ผ่านมา

    Do you always round down or there a rule?

    • @QuocDatPhung
      @QuocDatPhung 28 วันที่ผ่านมา

      Yes. You always round down. For example, 3.1 becomes 3. How about 4.9? It will be 4. Please let me know if that makes sense. I hope you enjoyed the video!

  • @phoenixkomben-ie9xq
    @phoenixkomben-ie9xq 28 วันที่ผ่านมา

    Great video

    • @QuocDatPhung
      @QuocDatPhung 28 วันที่ผ่านมา

      Thank you Phoenix! I think you'll like my other Sort videos too! Don't forget to share with your classmates and kindly subscribe ~ you can find all of my CS videos in this link: th-cam.com/play/PLeTO6OT3-FKmuxOu4RtupTay1yrMp6QGC.html

  • @SN-ow1bp
    @SN-ow1bp 29 วันที่ผ่านมา

    watching this for my summer courses as motivation

  • @Blaze_6969
    @Blaze_6969 29 วันที่ผ่านมา

    Thanks so much! I subscribed!

    • @QuocDatPhung
      @QuocDatPhung 28 วันที่ผ่านมา

      Thank you!! You can find all of my Calculus videos here: th-cam.com/play/PLeTO6OT3-FKmuCeO97iKt_Aibx-a938JA.html

  • @MushiSaad1
    @MushiSaad1 29 วันที่ผ่านมา

    Calculus is beautiful

    • @QuocDatPhung
      @QuocDatPhung 28 วันที่ผ่านมา

      Indeed! Please kindly subscribe and share if you enjoyed! It means a lot!

  • @shivasutube
    @shivasutube 29 วันที่ผ่านมา

    Simple and Clear explanation... thank you. Gr8 video

    • @QuocDatPhung
      @QuocDatPhung 29 วันที่ผ่านมา

      Thank you Shivasutube! Don't forget to share with your classmates and kindly subscribe ~ you can find all of my CS videos in this link: th-cam.com/play/PLeTO6OT3-FKmuxOu4RtupTay1yrMp6QGC.html

  • @darcash1738
    @darcash1738 หลายเดือนก่อน

    I found another way to do it, and it involves a lot of multiplication. Logistically, much more difficult, but it works. .5^14 * I, where I is the integral, and then u-sub for u = e^x Bounds of 1 to 1 + sqrt2 by expansion: [(u - 1/u)^3 * (u + 1/u)^11]/u I * .5^14 = 107/28 Checked this by calculator, would be hell otherwise lmao. When i think about this, this is a reasonable way that i can see being used to make the problem tougher. Seeing division by u would be a clear sign because u = e^x would cancel that out.

    • @QuocDatPhung
      @QuocDatPhung 29 วันที่ผ่านมา

      Yeah that would work! I prefer the hyperbolic version as it requires less work. I hope you enjoy the video! Please kindly subscribe and share to support me!

    • @darcash1738
      @darcash1738 29 วันที่ผ่านมา

      @@QuocDatPhung yeah it was a good video and i think by working it through in this way i was able to appreciate the hyperbolic identities much more 😂

  • @user-re9ml4sc1u
    @user-re9ml4sc1u หลายเดือนก่อน

    This is good for the children 👏 🙌 🙏 ❤❤❤

  • @mahrbooiiii
    @mahrbooiiii หลายเดือนก่อน

    I love you

    • @QuocDatPhung
      @QuocDatPhung หลายเดือนก่อน

      Thank you! I have videos on Big Theta and other topics too! Pls don't forget to share with your classmates and kindly subscribe ~ you can find all of my CS videos in this link: th-cam.com/play/PLeTO6OT3-FKmuxOu4RtupTay1yrMp6QGC.html

  • @roryeehaw4806
    @roryeehaw4806 หลายเดือนก่อน

    Thank you!

    • @QuocDatPhung
      @QuocDatPhung หลายเดือนก่อน

      Thanks Roryeehaw! Don't forget to share with your classmates and kindly subscribe ~ you can find all of my Calculus II videos in this link: th-cam.com/play/PLeTO6OT3-FKmuCeO97iKt_Aibx-a938JA.html

  • @AliHassan-hb1bn
    @AliHassan-hb1bn หลายเดือนก่อน

    You could stil solve in terms of x.

  • @KHOTSOHAPPINESSMOLETSANE
    @KHOTSOHAPPINESSMOLETSANE หลายเดือนก่อน

    Best teacher on this topic.

    • @QuocDatPhung
      @QuocDatPhung หลายเดือนก่อน

      Haha thank you! I'll show you how to find the volume of other shapes like the cone. You'll likely get that question on the exam ~ here's the link to all of my Calculus II videos: th-cam.com/play/PLeTO6OT3-FKmuCeO97iKt_Aibx-a938JA.html

  • @asadparvez24
    @asadparvez24 หลายเดือนก่อน

    Thank you very much

    • @QuocDatPhung
      @QuocDatPhung หลายเดือนก่อน

      I'm glad you like it Asadparvez! Don't forget to share with your classmates and kindly subscribe ~ you can find all of my Calculus II videos in this link: th-cam.com/play/PLeTO6OT3-FKmuCeO97iKt_Aibx-a938JA.html

  • @martencarlsson5702
    @martencarlsson5702 หลายเดือนก่อน

    Nice one!

    • @QuocDatPhung
      @QuocDatPhung หลายเดือนก่อน

      Thanks MartenCarlsson! Don't forget to share with your classmates and kindly subscribe ~ you can find all of my Calculus II videos in this link: th-cam.com/play/PLeTO6OT3-FKmuCeO97iKt_Aibx-a938JA.html

  • @akashsangwan3964
    @akashsangwan3964 หลายเดือนก่อน

    You know how to teach!!

    • @QuocDatPhung
      @QuocDatPhung หลายเดือนก่อน

      Thank you Akashsangwan! Don't forget to share with your classmates and kindly subscribe ~ you can find all of my CS videos in this link: th-cam.com/play/PLeTO6OT3-FKmuxOu4RtupTay1yrMp6QGC.html