integral from 0 to-infinity of e^{-x^2}

Lösung

\int_{0}^{- \infty} e^{- x^{2}} d x

- \frac{π}{2}

Dezimale

- 0.88622 \dots

Schritte zur Lösung

\int_{0}^{- \infty} e^{- x^{2}} d x

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

= - \int_{- \infty}^{0} e^{- x^{2}} d x

\int_{- \infty}^{0} e^{- x^{2}} d x = \frac{π}{2}

= - \frac{π}{2}

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