integral from 0 to infinity of e^{-9y^2}

Lösung

\int_{0}^{\infty} e^{- 9 y^{2}} d y

\frac{π}{6}

Dezimale

0.29540 \dots

Schritte zur Lösung

\int_{0}^{\infty} e^{- 9 y^{2}} d y

Berechne das unbestimmte Integral:

\int e^{- 9 y^{2}} d y = \frac{π}{6} erf (9 y) + C

Berechne die Grenzen:

\int_{0}^{\infty} e^{- 9 y^{2}} d y = \frac{π}{6} - 0

= \frac{π}{6} - 0

Vereinfache

= \frac{π}{6}

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