The value of $\smallint x{\left( {{x^x}} \right)^x}\,\,\left( {2\,\,\log \,\,x\,\, + \,\,1} \right)\,\,dx$ is

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

The value of

\int x{\left( {{x^x}} \right)^x}\,\,\left( {2\,\,\log \,\,x\,\, + \,\,1} \right)\,\,dx

View answer and explanation

Correct option: A

{\left( {{x^x}} \right)^x}\,\, + \,\,c

Option A (

{\left( {{x^x}} \right)^x}\\ + \\ c

) is correct because the integral is solved by recognizing the derivative of (x^x)^x and using substitution.

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