Integrating an equation.

[godami]

Hello~
I need to integrate

y = (4x^3)(1+x^4(2011))/(1+x^4)^2013

with respect to x and within the limits 0 to 1.
Here is a scan of the original question :
http://i3.photobucket.com/albums/y95/enderisnitin/78A8FDFC-9D72-4D82-AC63-5CE5A18BC9F7.jpg

I have tried the substitution method by assuming u=1+x^4, so that

du= 4x^3 . dx

and then substituting it in to receive the following result :

Integral (limits 1-2) of (1 + (u-1)²⁰¹¹)/(u²⁰¹³) . du

and tried solving like that but do not know how to continue beyond that as I am stuck at this point not knowing how to integrate that equation.
Any solution with steps or advice on how to proceed will be appreciated.
Thanks in advance^^

Please help me with a solution with the steps taken or any advice on how to proceed.
Thanks in advance^^

 

[stapel]

\(\displaystyle \int_0^1 \, \frac{4x^3 \left(1\, +\, x^{4(2011)}\right)}{\left(1\, +\, x^4 \right)^{2013}}\, dx\)

It isn't encouraging when Wolfram's "The Integrator" can't complete the integration. :shock: