Question

The value of $\smallint \,\,\frac{{{{\cos }^3}\,\,x\,\, + \,\,{{\cos }^5}\,\,x}}{{{{\sin }^2}\,\,x\,\, + \,\,{{\sin }^4}\,\,x}}\,\,dx$, is

Accepted Answer

$\sin \,\,x\,\, - \,\,2\,\,{\left( {\sin \,\,x} ight)^{ - 1}}\,\, - \,\,6\,\,{	an ^{ - 1}}\,\,\left( {\sin \,\,x} ight) + C$

Answer

$\sin \,\,x\,\, - \,\,6\,\,{	an ^{ - 1}}\,\,\left( {\sin \,\,x} ight) + C$

Answer

$\sin \,\,x\,\, - \,\,2\,\,{\left( {\sin \,\,x} \right)^{ - 1}} + \,\,C$

Answer

$\sin \,\,x\,\, - \,\,2\,\,{\left( {\sin \,\,x} ight)^{ - 1}}\,\, + \,\,5\,\,{	an ^{ - 1}}\,\,\left( {\sin \,\,x} ight)\,\, + \,\,C$

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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