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Why does Wolfram|Alpha give inconsistent result for $\int_0^\infty \frac{e^{x-x^2}-e^{-x-x^2}}{x}~dx$? [closed]
Why Wolfram gives inconsistent result for :
$$I=\int_0^\infty \frac{e^{x-x^2}-e^{-x-x^2}}{x}~dx$$
As shown in the picture below, the analytical integration gives $-i\pi$, but numerical integration ...
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About taking limit of an integral on Wolfram Alpha/Mathematica [closed]
I tried computing this quantity on Wolfram Alpha, but I couldn't get any answer:
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