JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

I=\int_{1 / \mathrm{e}}^{\mathrm{e}}|\log \mathrm{x}| \frac{\mathrm{dx}}{\mathrm{x}^2}

, then I equals

View answer and explanation

Correct option: C

2(1-1 / \mathrm{e})

Option C (

2(1-1 / \mathrm{e})

) is the correct answer because it is the result of evaluating the definite integral after splitting it into two parts based on the absolute value of the logarithm.

More Questions from INDEFINITE INTEGRATION

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

f(x)

is differentibale and

\int\limits_{0}^{t^2} x f(x) d x=\frac{2}{5} t^5

then

f\left(\frac{4}{25}\right)

equals If

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

is equal to If

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

and

{f}\left(\frac{1}{2}\right)=2

, then

f(1)

is equal to (where

{C}

is an arbitrary constant)

\int \frac{x^7}{\left(1-x^2\right)^5} d x

is equal to:

\int \,\frac{{a{x^3} + \,\,b{x^2} + c}}{{{x^4}}}\;\,dx

equals