The Wicked Integral

Calculus Level 5

0dxx[x2+(1+22)x+1][1x+x2x3++x2014] {\Large\int_0^\infty} \frac{dx}{\sqrt{x} \left[x^2+\left(1+2\sqrt{2}\right)x+1\bigg] \bigg[1-x+x^2-x^3+\cdots+x^{2014}\right]}

Given that the integral above is equal to π(ab)\pi(\sqrt a - b) , where aa and bb are positive integers, find the value of a+ba+b.

×

Problem Loading...

Note Loading...

Set Loading...