The value of

\[\int_0^{\infty}\frac{x}{(1 + x^3)^2} dx \]

can be expressed as \(\frac {\pi a \sqrt{b}}{c},\) where \(a\) and \(c\) are coprime and \(b\) is square-free. Find the value of the sum \(a+b+c.\)

×

Problem Loading...

Note Loading...

Set Loading...