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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
∫(1+x−x−1)ex+x−1dx=\int\left(1+x-x^{-1}\right) e^{x+x^{-1}} d x=
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Correct option: D
xex+x−1+Cx e^{x+x^{-1}}+C
Option D (xex+x−1+Cx e^{x+x^{-1}}+C) is correct because integrating by parts simplifies the expression, leading to the given result.

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