Question

$\smallint \frac{{dx}}{{\cos \,\,x\,\, - \,\,\sin \,\,x}}$ is equal to

Accepted Answer

$\frac{1}{{\sqrt 2 }}\,\,\log \,\,\left| {\,	an \,\,\left( {\frac{x}{2}\,\, + \,\,\frac{{3\pi }}{8}} ight) + c\,} ight|$

Answer

$\frac{1}{{\sqrt 2 }}\,\,\log \,\,\left| {\,	an \,\,\left( {\frac{x}{2}\,\, - \,\,\frac{\pi }{8}} ight)} ight| + c$

Answer

$\frac{1}{{\sqrt 2 }}\,\,\log \,\,\left| {\,\cot \,\,\left( {\frac{x}{2}} \right)\,} \right|\, + c$

Answer

$\frac{1}{{\sqrt 2 }}\,\,\log \,\,\left| {\,	an \,\,\left( {\frac{x}{2}\,\, - \,\,\frac{{3\pi }}{8}} ight)\,} ight| + c$

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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