JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

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Analyzing +4 | -1

\int \nolimits_0^\infty \,\,\log \,\,\left( {x + \frac{1}{x}} \right)\,\,\frac{{dx}}{{1 + {x^2}}}

is equal to

View answer and explanation

Correct option: A

\mathrm{\pi }\,\,\log \,\,2

The correct answer is C (

\pi /2

) because the integral can be solved by splitting the integrand and using integration by parts.

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