Paneer Definite Masala 3
Calculus
Level
5
\[ \large \int_0^\infty \dfrac{ \cos xt}{1+t^2} \, dt \]
If the integral above is equal to \( \dfrac ab\), where \(a\) and \(b\) are coprime positive integers, find \(a+b+ab\).
Take \(x=\ln \frac{3\pi}5\)
by
Kishore S Shenoy