Question

Given that $\int_{0}^{\infty}\frac{x^{2}}{\left(x^{2}+a^{2}\right)\left(x^{2}+b^{2}\right)\left(x^{2}+c^{2}\right)}$ dx = $\frac{\pi}{2\left(a+b\right)\left(b+c\right)\left(c+a\right)'}$ then $\int_{0}^{\infty}\frac{dx}{\left(x^{2}+4\right)\left(x^{2}+9\right)}$ is

• A. $\frac{\pi}{60}$
• B. $\frac{\pi}{20}$
• C. $\frac{\pi}{40}$
• D. $\frac{\pi}{80}$

Answer 1

Answer: (A)

$\frac{\pi}{60}$

Answer 2

Answer (a) $\frac{\pi}{60}$