integral from-infinity to 2 of x^2e^x

Lösung

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

2 e^{2}

Dezimale

14.77811 \dots

Schritte zur Lösung

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

Berechne das unbestimmte Integral:

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

Berechne die Grenzen:

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

= 2 e^{2} - 0

Vereinfache

= 2 e^{2}

t an g e n t y = \frac{x}{x + 3}, (4, \frac{2}{7})

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