Spent an hour long lesson on this and didnt understand it at all, went home, watched a 10 minute long video and understood it completely. Thanks so much!
I'm learning this subject on my own. The first one of these problems I had to solve was with sin x and cos x. I guess no one wanted to explain it in detail so I took it upon myself to watch the same process with simpler inputs and to my surprise, it allowed me to do the similar problem with trig identities. I thank you very much.
I'm a sophomore in Algebra 2/Trig, I'm going into Calculus BC next year and I've been watching your videos to help me prepare for next year. They're pretty helpful and especially the practice problem at the end. Keep up the good work!
@@patrickyang3157 Why would my school require me to take calculus AB and BC? That's like requiring you to take Chemistry before Chem Honors if you just wanted to take Honors. It's an accelerated version. You should be asking if I was forced to take normal Alg 2 last year. And no, I don't need to take precalc, as long as I meet the credit requirements for math (Which I already did last year actually), we're all good.
Literally, how did you explain this so easily? It makes so much sense which integral to choose to subtract from the other, use the bigger area, and subtract from the smaller area to get what you want to find. I swear I was just making a guess when I was taught this the first time.
if you were to find the area enclosed between x^3+5 and x^2 it would be annoying to sketch. Note sometimes the function can change from a certain interval is the top function.
First try it and if you get a negative answer that means that we substracted small one from big one (because a area can not be negative) then try it again or make it a absolute value
I'm slightly excited that I managed to do this kind of problem today quicker than my tutor haha! Hashtag things that happen when you're learning calculus for the first time at the age of 30.
The only given are just two functions e.g. f(x) and g(x) and you're only to find the area bounded by the two curves. Example: Find the area in the plane bounded by the curves y = x-1 and (y-1)^2 = 4(x+1)
What if you're finding the area between 2 curves and the bottom curve dips below the x-axis? Do you have to change your equation at all, or does it all just even itself out?
From the power rule. For differentiation, the derivative of x^n is n*x^(n-1). For integration, the indefinite integral of x^n is 1/(n+1) * x^(n+1) + C, as long as n does not equal -1. Set n=2, and you'll see that n+1 = 3, and thus the integral of x^2 is 1/3*x^3 + C. When n=-1, ln(|x|) + C is the indefinite integral.
When i tried doing the comprehension check I tried graphing out both functions in my calculator and they don't even make an area they are in completely different spots, am I doing something wrong? I stared at them many times and I'm sure I typed it in correctly
i hate your intro so fucking much that im couraged to write things after which i would have been taken by the law enforcments but on the other hand you make helpful video so the credits over all are -1 and be better
Spent an hour long lesson on this and didnt understand it at all, went home, watched a 10 minute long video and understood it completely. Thanks so much!
The beauty of math youtubers
An hour long lesson tells exactly the same thing
@@ramunasstulga8264 the explanation on lections is sort of more complex i think..
That is math unfortunately.
Yes it works after 2years!
man u explain 1 1 hour lecture with animations in 10 minutes - this is amazing!!! thank u!
Damn true😂
True dat
i dont like manchester united
Hy
OH MY.. AN HOUR LESSON OF THIS AT MY UNI DIDN'T MADE ME UNDERSTAND A SINGLE BIT. BUT A 7 MINUTE VIDEO ON TH-cam DOES. THANKS DAVE!
I'm learning this subject on my own. The first one of these problems I had to solve was with sin x and cos x. I guess no one wanted to explain it in detail so I took it upon myself to watch the same process with simpler inputs and to my surprise, it allowed me to do the similar problem with trig identities. I thank you very much.
Hy
Thank you, professor Dave. Your way of explaining is sooooo sweet. Please keep it up. You've helped me today
In 7 minutes you explained this better than my professor did in 2 hours! Thank you:)
Excellent explanation….clear as water and better than any of my College PhD professors…keep the great work.
Love your lessons from Vietnam.
Finally, youtube algorithm does help. This is gonna be a huge help in my oct/nov 2020 as exam.
How'd it go?
I'm a sophomore in Algebra 2/Trig, I'm going into Calculus BC next year and I've been watching your videos to help me prepare for next year. They're pretty helpful and especially the practice problem at the end. Keep up the good work!
Dont you still have to take Pre calc and Calc AB?
@@patrickyang3157 Why would my school require me to take calculus AB and BC? That's like requiring you to take Chemistry before Chem Honors if you just wanted to take Honors. It's an accelerated version. You should be asking if I was forced to take normal Alg 2 last year. And no, I don't need to take precalc, as long as I meet the credit requirements for math (Which I already did last year actually), we're all good.
Literally, how did you explain this so easily? It makes so much sense which integral to choose to subtract from the other, use the bigger area, and subtract from the smaller area to get what you want to find. I swear I was just making a guess when I was taught this the first time.
such a shame i had my add math exam 2 days ago
this would have helped
Malaysian bro?
the bright colors make this so much easier to understand, way easier to not fall asleep too tbh
if you were to find the area enclosed between x^3+5 and x^2 it would be annoying to sketch. Note sometimes the function can change from a certain interval is the top function.
great video! explained clearly and precisely!
Dude, that analogy at the beginning made it all click together, ty sm
If the interval extended beyond the intersection of the graphs, would you have to split up the interval so you wouldn't get negative area?
If you calculated an interval that goes past the intersections you did something wrong...
Thank you sir for your dedication and for making this free! 🙏
You make it seem so easy. Thank you sir🎉
wow !!! I will face my Exam with confidence and boldness on 30 th this month knowing that I will have information. Thank you Professor Dave
AWESOME.TOOK LESS THAN 5 MINUTES TO UNDERSTAND A WHOLE CONCEPT
For 4:05, If we were to be given two functions to integrate, how do we know which function comes first in subtraction without graphing?
First try it and if you get a negative answer that means that we substracted small one from big one (because a area can not be negative) then try it again or make it a absolute value
I'm slightly excited that I managed to do this kind of problem today quicker than my tutor haha!
Hashtag things that happen when you're learning calculus for the first time at the age of 30.
idk you but that sounds freaking awesome and i'm so proud of you!!!
@@uggo2488 Thank you! I haven't done any calc in 2 years, so I've forgotten everything xD
In one ear, out the other.
Great Lara!
yep the problem is me, ive seen around 20 vids and couldnt understand a single one.
That was very helping I was confused about this matter for a time that was easy to understand in a quite short time thanks
dude that square donut example is gold
This gives me more knowledge than my two hour lectures. Thank you so much
yes! Thank you for making this video I didn't understand at first but I 'can catch up thanks to you. you're my hero for this lesson
Your explanation is just amazing
Thank you
Thanks for the help!
I appreciate you Professor Dave.
Excellent explanation thanks very much
Thank you bro, I have my calc exam tomorrow, this will greatly help.
I have watched some of your videos on flat earthers and I never even knew you did these until I started uni 😂😂
5:56
why there is no negative sign with (1/3)?
Sir i m from Pakistan .
May i am wrong but i try a lot of time on compression question , so i got different answers sir.
Hello professor Dave, please how do you know which of the functions is the upper function and which is the lower function.
You can just draw it to understand right
Love❤️from India 🥀🥀🥀
Thanks man i got a test tomorrow this will definitely help me
Thanks for every help
What if the intervals are not given? How can you determine the intervals of each function and find its area?
The only given are just two functions e.g. f(x) and g(x) and you're only to find the area bounded by the two curves.
Example:
Find the area in the plane bounded by the curves y = x-1 and (y-1)^2 = 4(x+1)
You can find the boundaries by setting the functions equal to each other to find where they intersect.
Is this with the use of definite integral?
yes, at the end you should get a number and not +c
Bro made this easy to understand
this guy goated fr 🔥💯💰
very nice video. Thank u, sir
thanks professor!!
Best professor!!!
Thank you sir❤😊😊😊
What if you're finding the area between 2 curves and the bottom curve dips below the x-axis? Do you have to change your equation at all, or does it all just even itself out?
I'm probably way too late but it'll even itself out, the logic works the same way
@@tommyswag69 thanks
What does the "dx" mean?
Pro, give me advice because I never understood Physics and Math. What I do
Excellent sir
Very well done!!
thanks you for teaching me math jared leto
Excellent 👍
thought i was stupid until watching this. acing maths tests now go brr
I love this stuff!
Amazing 🤩
Thanks!
professor ve i think the answer for the first example is 7/6 sqr. unit
In 7 minutes you explained better than my teacher's 2 hours lecture 🫡 Thanks man
wow, I really did understand
last two functions dont overlap?
yes bro ive been trying to figure it out, I even put it on Desmos.
I can confused where did you get x3/3?
From the power rule. For differentiation, the derivative of x^n is n*x^(n-1). For integration, the indefinite integral of x^n is 1/(n+1) * x^(n+1) + C, as long as n does not equal -1. Set n=2, and you'll see that n+1 = 3, and thus the integral of x^2 is 1/3*x^3 + C.
When n=-1, ln(|x|) + C is the indefinite integral.
geogabra ?
Beautiful man
When i tried doing the comprehension check I tried graphing out both functions in my calculator and they don't even make an area they are in completely different spots, am I doing something wrong? I stared at them many times and I'm sure I typed it in correctly
can someone help pls.. what does it mean when i integrate a function with (a,b for eg) i get 0
Best ❤❤❤
He thanks I am from Bangladesh❤
what the "u" ??
check out the tutorial earlier in the calculus playlist about u substitution
big help!
Let me remined you sth DAVE you are smart.
you cant combine like terms when its more than one term, it will yield the incorrect results
Merci !
He is either Avi Kaplan or Jesus
DAVE YOU FUCKIN GENIUS!!! THANK YOU
I love you
i have watched his intro for about 20 times aaaaaaaaaaaaaaaaaaaaaaaaa
Wooow I love it
If I could Like twice
you saved me
👌👌👌
Cedric alcantara
thanksssssssssssssssssssssssssssssssssssssssssss
Omg, Math Jesus
❤❤❤
Easy
Teu ngarti
graphing calculator... funny
👏👏
Explaining this easily is illegal
👍👍😄
Your videos and examples are too easy
That’s how a tutorial works. You are taught easy example then practice hard.
You can find the 4 essential things in DC, huge black community.
Baahubali....
i hate your intro so fucking much that im couraged to write things after which i would have been taken by the law enforcments but on the other hand you make helpful video so the credits over all are -1 and be better
what about if the curves are below the x axis, will the formula be the same?
Super & Nice 👌👌👌👌