Help with a double integral! Do I really have to find the integral of 1/(x^5+1)? Reddit r/calculus
bprp calculus basics
38,679 views
Learn how to evaluate this double integral by changing the order of the differentials first. This integral is from the book, Book of Marvelous Integrals, by @mathscribbles I recommend you to check it out 👉 https://amzn.to/45rU0bv
This post is from Reddit r/calculus Reddit: k0r0i7rQgz
To see more examples of double integrals, please see How to evaluate double integrals (& how to...
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Patreon: blackpenredpen
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19 Comments
0<y<x^2<1
0<x<1; 0<y<x^2
I=-int[0,1](int[0,x^2](y/(x^5+1))dy)dx
I=-int[0,1](1/(x^5+1)•int[0,x^2](y)dy)dx
int[0,x^2](y)dy=x^4/2
I=-1/2•int[0,1](x^4/(x^5+1))dx
u=x^5+1
du/5=x^4•dx
I=-1/10•int[1,2](1/u)du
I=-ln(2)/10
You don’t need to bring u function there. It’s toooooooo booooooring
Help with a double integral! Do I really have to find the integral of 1/(x^5+1)? Reddit r/calculus
bprp calculus basics
38,679 views
Learn how to evaluate this double integral by changing the order of the differentials first. This integral is from the book, Book of Marvelous Integrals, by @mathscribbles I recommend you to check it out 👉 https://amzn.to/45rU0bv
This post is from Reddit r/calculus Reddit: k0r0i7rQgz
To see more examples of double integrals, please see How to evaluate double integrals (& how to...
-----------------------------
Support this channel and get my calculus notes on Patreon: 👉
Patreon: blackpenredpen
Get the coolest math shirts from my Amazon store 👉 https://amzn.to/3qBeuw6
-----------------------------
#calculus #bprpcalculus #apcalculus #tutorial #math
I want to add I feature you on this book as one of my inspirations in my "Hall of Fame" chapter.
Thanks for being you!