The value of the integral $\mathop \smallint \limits_0^{2\pi } \,\,\frac{{\sin \,\,2\theta }}{{a - b\,\,\cos \,\,\theta }}\,\,d\theta $ when $a\,\,\, > \,\,\,b\,\,\, > \,\,\,0$, is

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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The value of the integral

\int \limits_0^{2\pi } \,\,\frac{{\sin \,\,2\theta }}{{a - b\,\,\cos \,\,\theta }}\,\,d\theta

when

a\,\,\, > \,\,\,b\,\,\, > \,\,\,0

, is

View answer and explanation

Correct option: D

\mathrm{1}

Option A is correct because the integral evaluates to 0 due to the symmetry of the integrand over the interval [0, 2π].

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