JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Analyzing +4 | -1

The integral

\int\left(1+x-\frac{1}{x}\right)^{x+\frac{1}{x}} d x

is equal to

View answer and explanation

Correct option: D

x e^{x+\frac{1}{x}}+c

Option D (

x e^{x+\frac{1}{x}}+c

) is correct because integrating by parts simplifies the expression to the given result.

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