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Beliebt Rechnen >

integral from-infinity to 8 of xe^{x/4}

Lösung

\int_{- \infty}^{8} x e^{\frac{x}{4}} d x

Lösung

16 e^{2}

+1

Dezimale

118.22489 \dots

Schritte zur Lösung

\int_{- \infty}^{8} x e^{\frac{x}{4}} d x

Berechne das unbestimmte Integral:

\int x e^{\frac{x}{4}} d x = 4 e^{\frac{x}{4}} x - 16 e^{\frac{x}{4}} + C

Berechne die Grenzen:

\int_{- \infty}^{8} x e^{\frac{x}{4}} d x = 16 e^{2} - 0

= 16 e^{2} - 0

Vereinfache

= 16 e^{2}

Beliebte Beispiele

tangent f(x)=2x^4-11x^2,\at x=1

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