Question

$\smallint x\,\,\left\{ {\,f\,\left( {{x^2}} \right){\rm{g''}}\,\,\left( {{x^2}} \right)\,\, - \,\,f''\left( {{x^2}} \right)\,\,{\rm{g}}\,\,\left( {{x^2}} \right)} \right\}dx$ is equal to

Accepted Answer

$\frac{1}{2}\,\,\left\{ {\,f\left( {{x^2}} \right)\,\,{\rm{g'}}\,\,\left( {{x^2}} \right)\,\, - \,\,{\rm{g}}\,\,\left( {{x^2}} \right)\,\,f'\,\,\left( {{x^2}} \right)} \right\}\,\, + \,\,c$

Answer

$f\,\,\left( {{x^2}} \right)\,\,{\rm{g'}}\,\,\left( {{x^2}} \right)\,\, - \,\,{\rm{g}}\left( {{x^2}} \right)\,\,f'\,\,\left( {{x^2}} \right)\,\, + \,\,c$

Answer

$\frac{1}{2}\,\,\left\{ {\,\,f\,\,\left( {{x^2}} \right)\,\,{\rm{g}}\,\,\left( {{x^2}} \right)\,f'\left( {{x^2}} \right)} \right\}\,\, + \,\,c$

Answer

None of the above

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

More Questions from INDEFINITE INTEGRATION