$\smallint {x^x}\,(1 + \log \,\,\left| {\,x\,} \right|\,)\,\,dx$ is equal to

${x^x}\log \,\,\left| {\,x\,} \right| + c$

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Understanding +4 | -1

\int {x^x}\,(1 + \log \,\,\left| {\,x\,} \right|\,)\,\,dx

is equal to

View answer and explanation

Correct option: C

{x^x} + \,\,c

Option C (

{x^x} + \,c

) is correct because the integral of

{x^x}\,(1 + \log \,|{\,x\}|\,)\,dx

{x^x} + \,c

after applying substitution.

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