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$\int (1 + x - x^{- 1}) e^{x + x^{- 1}} dx$ is equal to

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(x+1)ex+x−1+C

(x−1)ex+x−1+C

−xex+x−1+C

xex+x−1+C

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detailed solution

Correct option is D

∫1+x−x−1ex+x−1dx =∫xex+x−11−1x2+ex+x−1dx =xex+x−1−∫ex+x−1dx+∫ex+x−1dx =xex+x−1+C

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∫1+x−x−1ex+x−1dx is equal to

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$\int (1 + x - x^{- 1}) e^{x + x^{- 1}} dx$ is equal to