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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy
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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, is equal to
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Correct option: A
xex+x−1+Cx e^{x+x^{-1}}+C
Option A is correct because the integral simplifies to xex+x−1+Cx e^{x+x^{-1}}+C after applying integration by parts.

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