JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Analyzing +4 | -1

The integral

\int\limits_{1}^e\left\{\left(\frac{x}{e}\right)^{2 x}-\left(\frac{e}{x}\right)^x\right\} \log _e x d x

is equal to:

View answer and explanation

Correct option: D

\frac{3}{2}-e-\frac{1}{2 e^2}

Option D (

\frac{3}{2}-e-\frac{1}{2 e^2}

) is correct because the integral is solved by using substitution and simplification.

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