Integrating mixture of functions

Calculus Level 4

0cos(πx)4x2+1dx=1BπeπA \large \int^{\infty }_{0}\frac{\cos ( \pi x) }{4x^{2}+1} \, dx=\dfrac1B{\pi e^{\frac{-\pi }{A} }}

The equation above holds true for some positive integers AA and BB. Find A+BA+B.


Also try this problem.
This problem is part of the set of complex analysis problems.
×

Problem Loading...

Note Loading...

Set Loading...