Question

If $\smallint f\left( x \right)\,\,\sin \,\,x\,\,\cos \,\,x\,\,\;dx = \frac{1}{{2\,\,\left( {{b^2} - \,\,{a^2}} \right)}}\log \,\,\left\{ {f\left( x \right)} \right\} + C$, then $f\left( x \right)$ is equal to

Accepted Answer

$\frac{1}{{{a^2}\,\,{{\sin }^2}x\,\, + \,\,{b^2}\,\,{{\cos }^2}\,\,x}}$

Answer

$\frac{1}{{{a^2}\,\,{{\sin }^2}x\,\, - \,\,{b^2}\,\,{{\cos }^2}\,\,x}}$

Answer

$\frac{1}{{{a^2}\,\,{{\cos }^2}x\,\, + \,\,{b^2}\,\,{{\sin }^2}\,\,x}}$

Answer

$\frac{1}{{{a^2}{{\cos }^2}x\,\, - \,\,{b^2}\,\,{{\sin }^2}\,\,x}}$

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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