$\smallint \log \,\,2\,\,x\,dx$ is equal to

$x\,\,\log \,\,2x\,\, - \,\,\frac{{{x^2}}}{2}\,\, + \,\,c$

$x\,\,\log \,\,2x\,\, - \,\,\frac{x}{2}\,\, + \,\,c$

${x^2}\,\,\log \,\,2x\,\, - \,\,\frac{x}{2}\,\, + c\,$

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \log \,\,2\,\,x\,dx

is equal to

View answer and explanation

Correct option: D

x\,\,\log \,\,2x\,\, - \,\,x\,\, + \,\,c\;

Option D (

x\,\,\log \,2x\, - \,x\, + \,c\;

) is correct because it is the result of integrating

\log 2x

using integration by parts.

Practice All Chapter MCQs →

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f(x)

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

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

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

f(1)

{C}

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

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