integral from 0 to infinity of e^{-3x^2}

Lösung

\int_{0}^{\infty} e^{- 3 x^{2}} d x

\frac{π}{2 3}

Dezimale

0.51166 \dots

Schritte zur Lösung

\int_{0}^{\infty} e^{- 3 x^{2}} d x

Berechne das unbestimmte Integral:

\int e^{- 3 x^{2}} d x = \frac{π}{2 3} erf (3 x) + C

Berechne die Grenzen:

\int_{0}^{\infty} e^{- 3 x^{2}} d x = \frac{π}{2 3} - 0

= \frac{π}{2 3} - 0

Vereinfache

= \frac{π}{2 3}

\int_{0}^{2} \frac{1}{1 + x} d x

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\int_{- 3}^{2} b x - a x^{2} d x