Question

The value of the integral $\int\limits_0^{3\alpha } {{	ext{cosec}}\left( {x - \alpha } ight){	ext{cosec}}\left( {x - 2\alpha } ight)dx} ,$ is

Accepted Answer

$2\;\,\,{\rm{cosec}}\,\,\;\alpha \,\,\log \,\,\left( {\frac{1}{2}\,\,\sec \,\,\alpha } \right)$

Answer

$2\sec \alpha \log \left( {\frac{1}{2}{	ext{cosec}}\alpha } ight)$

Answer

$2\,\,\sec \,\,\alpha \,\,\log \,\,\left( {\frac{1}{2}\,\,\sec \,\,\alpha } \right)$

Answer

$2\;\,\,{\rm{cosec}}\;\,\,\alpha \,\,\log \,\,\left( {\sec \,\,\alpha } \right)$

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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