The value of the integral $\mathop \smallint \limits_0^1 \log \,\,\sin \,\,\left( {\frac{{\pi x}}{2}} \right)\,\,dx$ , is

$ - \frac{\pi }{2}\,\,\log \,\,2$

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

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Analyzing +4 | -1

The value of the integral

\int \limits_0^1 \log \,\,\sin \,\,\left( {\frac{{\pi x}}{2}} \right)\,\,dx

, is

View answer and explanation

Correct option: B

- \,\log \,\,2

The correct answer is B (

- \,\log \,\,2

) because after substitution, the integral can be solved using a known result.

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