Ali's Improper Integrals: Problem 1
Calculus
Level
3
If \(a\) and \(b\) are positive coprime integers in the following integral:
\[\int_0^\infty \frac{2x^2-1}{x^4+5x^2+4}dx=\frac{a\pi}{b},\]
find the value of \(a+b\).
by
Ali Caglayan