The value of the integral $\mathop \smallint \limits_0^\pi \,\,\frac{{\sin \,\,k\,\;x}}{{\sin \,\,x}}\,\,dx$ is an even integer) is equal to

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

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Analyzing +4 | -1

The value of the integral

\int \limits_0^\pi \,\,\frac{{\sin \,\,k\,\;x}}{{\sin \,\,x}}\,\,dx

is an even integer) is equal to

View answer and explanation

Correct option: D

\mathrm{0}

Option D (

\mathrm{0}

) is correct because the integral evaluates to 0 due to the symmetry of the sine function.

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