How will you solve this integral?
One would first think of the method of Partial Fractions, including Shu-Sheng Lai（賴樹聲）. However you will encounter a denominator conponent of (1+x^4) if you really do so, and what is worse, Lai doesn't give you the correct answer to the coefficents and constants in the numerators of the fractions.
I provide my better solution in this PDF document, and you will see we need nothing but a little brain.
