JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Understanding +4 | -1

\int x^x\left(1+\log _e x\right) d x

is equal to

View answer and explanation

Correct option: C

x^x+C

Option C is correct because the integral can be simplified by recognizing that

x^x(1 + \log_e x)

is the derivative of

x^x

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