Question

Let $\alpha \in \left( {0,\,\,\pi /2} ight)$ be fixed. If the integral $\int {\frac{{	an x + 	an \alpha }}{{	an x - 	an \alpha }}dx = A\left( x ight)\cos 2\alpha + B\left( x ight)} $ $\sin 2\alpha + C\,$, where $C$ is a constant of integration, then the functions $A\left( x ight)$ and $B\left( x ight)$ are respectively

Accepted Answer

$x - \alpha $ and ${\log _e}\left| {\sin \left( {x - \alpha } \right)} \right|$

Answer

$x + \alpha $ and ${\log _e}\left| {\sin \left( {x + \alpha } \right)} \right|$

Answer

$x - \alpha $ and ${\log _e}\left| {\cos \left( {x - \alpha } \right)} \right|$

Answer

$x + \alpha $ ${\log _e}\left| {\sin \left( {x - \alpha } \right)} \right|$

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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