Question

The anti-derivative of $f\left( x \right) = \frac{1}{{3\,\, + \,\,5\,\,\sin \,\,x\,\, + \,\,3\,\,\cos \,\,x}}$, whose graph passes through the point $\left( {{\rm{0, 0}}} \right)$ is

Accepted Answer

$\frac{1}{5}\,\,\left( {\log \,\,\left| {1\,\, + \,\,\frac{5}{3}\,\,	an \,\,\left( {x/2} ight)\,} ight|} ight)$

Answer

$\frac{1}{5}\,\,\left( {\log \,\,\left| {1\,\, - \,\,\frac{5}{3}\,\,	an \,\,\left( {x/2} ight)\,} ight|} ight)$

Answer

$\frac{1}{5}\,\,\left( {\log \,\,\left| {1\,\, + \,\,\frac{5}{3}\,\,\cot \,\,\left( {x/2} \right)\,} \right|} \right)$

Answer

None of these

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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