Show that by expanding 1/(1+x^4) as a geometric series and integrating termwise.
But for the sum look here http://www.mathhelpforum.com/math-he...415-post2.html and note then that your sum should be equal to which is what your first equation indicates.
This portion of your first post is my second part of this problem, where i gotta show that the integral from my first post is equal to sqrt(2)*pi/4 like you have shown.
We know that so
is there a way to conclude from here to prove