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CalculusMediumNon-Elementary Integration

Non-Elementary Integration · Medium problem

Given ∫−∞∞e−x2 dx=π\displaystyle\int_{-\infty}^{\infty}e^{-x^2}\,dx=\sqrt\pi, evaluate ∫−∞∞e−x2+2x dx\displaystyle\int_{-\infty}^{\infty}e^{-x^2+2x}\,dx.