The value of $\mathop \smallint \nolimits_0^\infty \,\,\frac{{dx}}{{\left( {{x^2} + \,\,4} \right)\,\,\left( {{x^2} + \,\,9} \right)}}$ is

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

The value of

\int \nolimits_0^\infty \,\,\frac{{dx}}{{\left( {{x^2} + \,\,4} \right)\,\,\left( {{x^2} + \,\,9} \right)}}

View answer and explanation

Correct option: A

\frac{\pi }{{60}}

Option A (

\frac{\pi}{{60}}

) is correct because after using partial fractions and integrating, the result is

\frac{\pi}{{60}}

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