a golden integral 

Infact, A golden rule and word of encouragement to some folk here (who still look down upon themselves) : there a many ways to solve most integrals (unless a complex one or something highly geometric like the forms etc etc) so nobody needs to panic; start somewhere! Most of my “frustrations were encountered because I tried to do things in my head-I was to lazy to even pull up a piece of paper. It was some form of math procrastination that I had because of the fear of failure before even beginning to solve anything! So start somewhere!

Glad to see you doing more integrals. Excellent work.

This is giving me good flashbacks of your plastic ratio and metallic ratio videos.

You are rocking that shirt, I love it! nice video!

I tried to reduce the fraction, using sin^5(x) + cos^5(x) = (sin(x) + cos(x)) (sin^4(x) - sin^3(x) cos(x) + sin^2(x)cos^2(x) - sin(x)cos^3(x) + cos^4(x)), and then got stuck immediately. :D

This is REAL MATH!!! I love it. Much better to do something like this than Lets define a function f: X -> Y such that X has the finite compliment topology and Y is the standard topology of the real line, when is this function continous? (constant function, or when the preimage of Y is finite)

if i dare say you were sparkling

But doc, <a href="#" class="seekto" data-time="682">11:22</a> shouldn't it be sqrt((5+sqrt(5))/5) instead of sqrt((5+sqrt(5))/sqrt(5))??

nice approach

<a href="#" class="seekto" data-time="450">7:30</a> v^(-4/5)/(1+v)=v^(-4/5)(1-v+v^2-v^3+…)

With t = tan(x) substitution we can calculate indefinite integral

Euler's reduction formula is only valid if m is not an integer.

*snap snap* 🎶

An integral from 0 to ( Dr Peyam / Dr am) / 2

Nice 👍👏

😯

I'm a high schooler Dont know gamma function