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exp(ert)
เข้าร่วมเมื่อ 29 ธ.ค. 2024
*Not actually an expert 💀
Just a math enjoyer trying to help people out
Just a math enjoyer trying to help people out
The "Scariest" Trig Formulas Are Easy, Actually
#trigonometry
#maths
BASIC TRIG IDENTITIES: th-cam.com/video/oEI9URhNNHU/w-d-xo.htmlfeature=shared
#maths
BASIC TRIG IDENTITIES: th-cam.com/video/oEI9URhNNHU/w-d-xo.htmlfeature=shared
มุมมอง: 258
วีดีโอ
Integration Is Easy, Actually
มุมมอง 16K21 ชั่วโมงที่ผ่านมา
#integration Reflection Trick (f(c-x) is f(x) reflected about x=c/2): th-cam.com/video/DwXogKvJ4KI/w-d-xo.html arctan(x) arctan(1/x) = ??: th-cam.com/video/gyqPzZFGYMM/w-d-xo.htmlfeature=shared
They Didn't Teach You This Reflection Trick
มุมมอง 448วันที่ผ่านมา
f(c-x) is the reflection of f(x) about x=c/2; here's why
Why Didn't I Know This Before 💀
มุมมอง 910วันที่ผ่านมา
why did no one tell me this before bruh #trigonometry
Any Calculus Student Can Solve This
มุมมอง 17914 วันที่ผ่านมา
think geometrically #calculus #polynomials
Reduction Is Easy, Actually
มุมมอง 1.7K14 วันที่ผ่านมา
#reductionformula #integration Learn reduction formula proofs in just minutes, better than your teacher taught it in hours.
This Integral Proves π Is Less Than 22/7
มุมมอง 1.1K21 วันที่ผ่านมา
This Integral Proves π Is Less Than 22/7
You Learned Inverse Trig Calculus Wrong
มุมมอง 51521 วันที่ผ่านมา
You Learned Inverse Trig Calculus Wrong
Can you provide us with the session pdf/ppt that these videos? It will be really helpful
OH !!! I never thought to think of 1 as sqrt(4)/2 this would've made it easier to remember
These tricks are so cool
Tbh I just kinda learned the two big cosine identities with cos(u+-v) and cos(u-+v), and the 3 main tangent ones and derived everything from that 😅
@@deleted-something It's great you know how to derive all of these but it's essential to memorise them and spam practice problems where you need to use them multiple times or in various ways. If you have to derive them each time it makes exams unnecessarily harder. Hope this helps 🙏
hi exp(ert), can you please make a video on how to master perms and combs? im tryna become perms and combs legend
Don't doubt yourself, I'm sure you are already a perms and combs legend 🥶 But I will eventually hope to make a video on that 👍
Please use radians 🤕🙏
Yeah I never use degrees anymore 💀 but this video was intended for a more beginner audience who are just learning trig so I used degrees
mf needs nore subs
Damn! Thanks for making it so easy to learn
Bro variable lcm
Nice manipulation
Scary ahh voice 💀
There a way more easier method. Multiply numerator and denominator with 1- cos x to create 1- cos^2 x in the denominator which is sin^2 x now the expression is 1/sin^2x - cosx/sin^2x which is cosec ^2 x - cosecx (cotx). Now both of them are standard integrals so it'll be -cot x + cosec x which is also equal to tan x/2
@@gutsmp3 Yes that's also really good. However, this one comes out a bit cleaner in my opinion because there are fewer steps (not much fewer but still). I tend to use your method (multiplying and dividing by the conjugate) for 1/(1+sinx) rather than 1/(1+cosx) but both work 👍
Bro did set up the new year resolutions 💀
did not know that standard method when limits are reciprocals of each other we do that , never taught in college either , good video man really helps beginners a lot
hahahaha... last rule is actually called "Queens' Rule"
Get us to 1K by the end of the month 🙏 Basic Trig Identities EXPLAINED: th-cam.com/video/oEI9URhNNHU/w-d-xo.htmlfeature=shared
Literally discovered this channel randomly while browsing on incognito mode, gold mine fr
Hopefully more gold coming soon 🙏
Glad to be here relatively early
who tf is the target audience
@@juv7026 The target audience of my channel is mainly senior high school students, or anyone who is studying topics such as trigonometry, inverse trigonometry, integration, etc.
Why is noone teaching that ??? So helpful
This would have probably took me a while to learn but with this vid learnt in literally one minute ☠️☠️☠️☠️☠️
Sadly I didn't learn it like this either 💀 It's surprising that such an easy way to remember is not taught in some schools
Do you know this book: Advanced Calculus Explored: With Applications in Physics, Chemistry, and Beyond by Hamza E. Alsamraee. This very much contains everything and beyond!
Oo man🎉🎉 You should have been my math teacher during my school days. Amazing ❤❤
You are really amazing
Anyway, it's a good technique! I know that there are some debates about +C, but this technique is much important than that debates for me :)
you also start from product rule and take the dertivative on both sides
you can alos use reverse quoteint rule for this as well, where you the saem idea of adding 1 and subtratcting one
you can actaully find this by using taylor series
Great video
Ok , how about int^a_b sin(sin(X)) 💀
Such an integral would not have a closed form answer, as you probably know 💀💀
cool stuff bro
Your examples are the game changers. My teachers explained it to me earlier but I couldn't understand it as they are almost always in a hurry to complete the syllabus. Even good teachers are not able to explain some concepts properly due to time constraints.
T-subbing? Do you mean u sub or the tan(x/2) sub
Sorry for the confusion- i meant tan(x/2) because i tend to let t=tan(x/2) when I use it, hence a "t-sub". More officially it is called the Weierstrass substitution I believe.
WOW A year too late after my calc 2 class but in two days I start calc 3 and you reinvigorated me!
What's with all the memefication of math videos on YT now... ever since sheafification blew up.
If you prefer math videos without memes, you can check out my more recent videos 👍
@exp_ert_math I'm just giving you a hard time... good job
My answer is 1/π-2.
If this is your answer to the ln sin integral, then it's not quite right. Just check back over your working and try to carefully look for any mistake you might have made. Also, you can check your answers to definite integrals by typing them in Wolfram Alpha or Desmos (the latter doesn't give exact values and *very rarely* can give incorrect answers so it is good to cross check with Wolfram in those cases).
@exp_ert_math thanks for correcting me, the answer was -1/2 π ln(2)
Try integrating e^x^2
Nice try 💀
👍
❤ from Bangladesh 🇧🇩
Wow thankyou
cool video ! About the origin of the king's rule's name : someone found it in a book in Rajastan, in india and Rajastan means "the king's country" so they named the property after the region
Indefinite integral has entered the chat:
@@thoughtfulotaku +C 💀
integral of x² from 1 to 4 is the same as 2(Integral from 1 to 5/2?)
The Symmetrical Rule only works if f(a+b-x)=f(x) (i.e. the function is symmetric about the midpoint of the interval). x^2 is not symmetric about 5/2 so it doesn't apply here. f(x)=x^2 and a=1 and b=4; (5-x)^2 is not equal to x^2 so it is not the same as 2(integral from 1 to 5/2). Hope this helps.
Such a beautifully executed principle thanks so much for your production, particularly clear elocution
revol shtam
Annoying ahh integral, I expected it to have some sort of a clever trick but I guess not
Yes, I suppose it really just is a brute force one 💀
the problem at 5 minutes allows the approximation that 1/0 = inf because definite integrals don't include the lower bound in their domain by definition. it's classically asserted that the lower bound is included in the domain, which is why you're having to make up some weird apologetics here, but think it about for a second. the integral is evaluated by subtracting the lower bound, which means it's not included... because that's what subtraction is. your 0+ isn't 0, it's the infinitesimal just positive of 0, which interestingly shouldn't exist on the Real axis by definition. this one problem turns out to completely overturn most of the mathematics you know if you bother to analyze it honestly.
Really, really underrated
One of the most useful math videos ive seen tbh
1:01 that right angle scale...