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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

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If

\int \frac{{dx}}{{x\,\,\log \,\,x}} = f\left( x \right) +

constant, then

f\left( x \right)

is equal to

View answer and explanation

Correct option: C

\log \,\,\log \,\,x

Option C (

\log \, \log \, x

) is correct because the integral of

\frac{1}{x \, \log x}

is

\log(\log x)

.

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\int \sin ^5 x \cos ^4 x d x=

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\int \frac{1-7 \cos ^2 x}{\sin ^7 x \cos ^2 x} d x=\frac{f(x)}{\sin ^7 x}+C

\int {e}^{{x}^2}\left(2-\frac{1}{{x}^2}\right) {de}={e}^{{x}^2} {f}({x})+{C}

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