JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Analyzing +4 | -1

The anti-derivative of

f\,\,\left( x \right) = \log \,\,(\log \,\,x)\,\, + \,\,{(\log \,\,x)^{ - 2}}

whose graph passes through

\left( {e,\,\,e} \right)

, is

View answer and explanation

Correct option: C

x\,[\log \,\,(\log \,\,x)\,\, - \,\,{(\log \,\,x)^{ - 1}}]\,\, + \,\,2e

Option C (

x\,[\log \,(\log \,x)\, - \,\,{(\log \,x)^{ - 1}}]\, + \,2e

) is correct because it is the antiderivative of the given function that passes through the point (e, e).

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