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Beliebt Rechnen >

integral from-infinity to 6 of xe^{x/2}

Lösung

\int_{- \infty}^{6} x e^{\frac{x}{2}} d x

Lösung

8 e^{3}

+1

Dezimale

160.68429 \dots

Schritte zur Lösung

\int_{- \infty}^{6} x e^{\frac{x}{2}} d x

Berechne das unbestimmte Integral:

\int x e^{\frac{x}{2}} d x = 4 (\frac{1}{2} e^{\frac{x}{2}} x - e^{\frac{x}{2}}) + C

Berechne die Grenzen:

\int_{- \infty}^{6} x e^{\frac{x}{2}} d x = 8 e^{3} - 0

= 8 e^{3} - 0

Vereinfache

= 8 e^{3}

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integral from 0 to infinity of 1/(2^x)

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