Solve Antiderivative Problem - Step-by-Step Guide

  • Thread starter Thread starter Cursed
  • Start date Start date
  • Tags Tags
    Antiderivative
Cursed
Messages
38
Reaction score
0
edit: nvm. i'll figure it out... :/
 
Last edited:
Physics news on Phys.org
Hint: Partial fractions...
 
I don't see how you would do partial fractions.
 
Cursed said:
I don't see how you would do partial fractions.

x^2 * (1/(x^2 +1)) then check some of you're identities. especially one that says 1 over x squared plus a squared.
 
Cursed said:
I don't see how you would do partial fractions.

It's not really partial fractions. Do polynomial division of x^2 by x^2+1 and express it as quotient+remainder/(x^2+1).
 

Thread 'Prove that the integral is equal to ##\pi^2/8##'

Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
View full post »

Similar threads

Antiderivative of Heaviside step function with absolute-value-argument
Replies
2
Views
2K
How do I set this antiderivative up?
Replies
3
Views
1K
Finding Complex Antiderivatives | Guidance for Tricky Functions
Replies
8
Views
2K
Find the antiderivative of the following vector:
Replies
8
Views
2K
Apparently impossible indefinite integral?
Replies
22
Views
2K
Solve Antiderivative of xe^x | Step-by-Step Guide
Replies
15
Views
2K
What is the antiderivative of cosh(x^2)?
Replies
12
Views
14K
Integration by parts, just need a small hand
Replies
2
Views
1K
Antiderivative of 1/((x(lnx)^3) using u-substitution
Replies
6
Views
2K
Improper Integrals / Antiderivatives.
Replies
3
Views
1K

Hot Threads

Recent Insights

Back
Top