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$\int e^{x} {(\frac{1 - x}{1 + x^{2}})}^{2} d x$ =

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detailed solution

Correct option is D

ex1−x1+x22=ex11+x2−2x1+x22 so ∫ex1−x1+x2dx =∫ex1+x2dx−∫ex2x1+x22dx=ex1+x2+∫ex2x1+x22dx−∫ex2x1+x22dx+C=ex1+x2+C

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∫ex1−x1+x22dx =

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$\int e^{x} {(\frac{1 - x}{1 + x^{2}})}^{2} d x$ =