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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
The integral ∫(1+x−1x)ex+1xdx\int\left(1+x-\frac{1}{x}\right) e^{x+\frac{1}{x}} d x is equal to
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Correct option: B
xex+1x+Cx e^{x+\frac{1}{x}}+C
Option B (xex+1x+Cx e^{x+\frac{{1}}{{x}}}+C) is correct because it represents the result of the given integral after applying integration by parts and simplification.

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