The value of (\integral\limits\_{0}^{\infinity} \frac{dx}{\l... | Mathematics | SolveeIt | Solveeit

Today, August 24

Question

The value of $\int\limits_{0}^{\infty} \frac{dx}{\left(x^{2}+4\right)\left(x^{2}+9\right)}$ is

A

$\frac{\pi}{60}$

B

$\frac{\pi}{20}$

C

$\frac{\pi}{40}$

D

$\frac{\pi}{80}$

Answer

$\frac{\pi}{60}$

Explanation

Solution

Let $I =\int\limits_{0}^{\infty} \frac{dx}{\left(x^{2}+4\right)\left(x^{2}+9\right)}$