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

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Indefinite Integration

Question:

$\int x^x\left(1+\log _e x\right) d x$ is equal to

Options:

$x^x \log _e x+C$

$e^{x^x}+C$

$x^x+C$

none of these

Correct Answer:

$x^x+C$

Explanation:

We have,

$\int x^x\left(1+\log _e x\right) d x=\int 1 . d\left(x^x\right)=x^x+C$