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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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∫f′  (x)f(x)  log⁡  {f(x)}dx=\int \frac{{f'\,\,\left( x \right)}}{{f\left( x \right)\,\,\log \,\,\left\{ {f\left( x \right)} \right\}}}dx =
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Correct option: C
log⁡  {log⁡  f(x) }  +  C\log \,\,\left\{ {\log \,\,f\left( x \right)\,} \right\}\,\, + \,\,C
Option C (\log \,\left\{ {\log \,f\left( x \right)\} \right\}\, + \,C\log \,\left\{ {\log \,f\left( x \right)\} \right\}\, + \,C) is correct because it is the result of applying u-substitution twice.

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