Question

$\smallint \,\,\frac{{dx}}{{(\sin \,\,x\,\, - \,\,2\,\,\cos \,\,x)\,(2\,\,\sin \,\,x\,\, + \,\,\cos \,\,x)}}$ is equal to

Accepted Answer

${\log _e}\,\,\sqrt[5]{{\frac{{	an \,\,x\,\, - \,\,2}}{{2	an \,\,x\,\, + \,\,1}}}}\,\, + \,\,c$

Answer

$\frac{1}{4}\,\,\log \,\,\left( {\frac{{	an \,\,x\,\, - \,\,2}}{{	an \,\,x\,\, + \,\,2}}} ight)\,\, + \,\,c$

Answer

$ - \,\,\frac{1}{4}\,\,\log \,\,\left( {\frac{{2\,\,\sin \,\,x\,\, + \,\,\cos \,\,x}}{{\sin \,\,x\,\, + \,\,2\,\,\cos \,\,x}}} \right) + c$

Answer

None of the above

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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