Question

If $\smallint \,\,\left[ {\log \,(\log \,\,x)\,\, + \,\,\frac{1}{{{{\left( {\log \,\,x} \right)}^2}}}} \right]dx = x\,\,\left[ {\,f\left( x \right)\,\, - \,\,{\rm{g}}\left( x \right)\,} \right]\,\, + \,\,c$, then

Accepted Answer

$f\,\,\left( x \right) = \log \,(\log \,\,x);\,\,{\rm{g}}\left( x \right) = \frac{1}{{\log \,\,x}}$

Answer

$f\,\,\left( x \right) = \log \,\,x\,;\,\,{\rm{g}}\left( x \right) = \frac{1}{{\log \,\,x}}$

Answer

$f\,\,\left( x \right) = \frac{1}{{\log \,\,x}}\,\,;\,\,{\rm{g}}\left( x \right) = \log \,(\log \,\,x)$

Answer

$f\,\,\left( x \right) = \frac{1}{{x\,\,\log \,\,x}}\,\,;\,\,{\rm{g}}\left( x \right) = \frac{1}{{\log \,\,x}}$

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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