$\mathop \smallint \limits_0^{1/2} \,\,\left| {\,\sin \,\,\pi \,\,x} \right|\,\,dx$ is equal to

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

\int \limits_0^{1/2} \,\,\left| {\,\sin \,\,\pi \,\,x} \right|\,\,dx

is equal to

View answer and explanation

Correct option: D

1\,\,/\,\,\pi

Option D (

1/\pi

) is correct because the integral is evaluated using substitution and the properties of the sine function.

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