Question

$\smallint \,\,\frac{{\left( {\sin \,\,{m{	heta }}\,\, + \,\,\cos \,\,{m{	heta }}} ight)}}{{\sqrt {\sin \,\,2{m{	heta }}} }}\,\,d{m{	heta }}$ is equal to

Accepted Answer

${\sin ^{ - 1}}\,\,\left( {\sin \,\,{m{	heta }} - \cos \,\,{m{	heta }}} ight)\,\, + \,\,c$

Answer

$\log \,\,\left| {\,\cos \,\,{m{	heta }}\,\, - \,\,\sin \,\,{m{	heta }}\,\, + \,\,\sqrt {\sin \,\,2{m{	heta }}} \,} ight| + c$

Answer

$\log \,\,\left| {\,\sin \,\,{m{	heta }}\,\, - \,\,\cos \,\,{m{	heta }}\,\, + \,\,\sqrt {\sin \,\,2{m{	heta }}\,} } ight| + c$

Answer

${\sin ^{ - 1}}\,\,\left( {\sin \,\,{m{	heta }}\,\, + \,\,\cos \,\,{m{	heta }}} ight)\,\, + \,\,c$

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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