- #1
maverick280857
- 1,789
- 4
Hello everyone
I need some help in performing the following integration (not HW):
[tex]\int_{0}^{\pi/4}\left(\frac{x}{x\sin x + \cos x}\right)^{2}dx[/tex]
I tried integration by parts, but it leads nowhere. Any suggestions would be appreciated.
Thanks
Vivek
PS--Mathematica gives the answer as [itex](4-\pi)/(4+\pi)[/itex] but is unable to perform the integration with the [itex]x^2[/itex] term in the numerator replaced by unity.
I need some help in performing the following integration (not HW):
[tex]\int_{0}^{\pi/4}\left(\frac{x}{x\sin x + \cos x}\right)^{2}dx[/tex]
I tried integration by parts, but it leads nowhere. Any suggestions would be appreciated.
Thanks
Vivek
PS--Mathematica gives the answer as [itex](4-\pi)/(4+\pi)[/itex] but is unable to perform the integration with the [itex]x^2[/itex] term in the numerator replaced by unity.