integral from 0 to 6 of x^3e^x

Lösung

\int_{0}^{6} x^{3} e^{x} d x

138 e^{6} + 6

Dezimale

55679.17350 \dots

Schritte zur Lösung

\int_{0}^{6} x^{3} e^{x} d x

Wende die partielle Integration an

= [x^{3} e^{x} - \int 3 x^{2} e^{x} d x]_{0}^{6}

\int 3 x^{2} e^{x} d x = 3 (x^{2} e^{x} - 2 (e^{x} x - e^{x}))

= [x^{3} e^{x} - 3 (x^{2} e^{x} - 2 (e^{x} x - e^{x}))]_{0}^{6}

Berechne die Grenzen:

138 e^{6} + 6

= 138 e^{6} + 6

n = 1 \sum \infty \frac{1}{n ^{2} - 1}

\int_{0}^{1} x^{4} e^{6 x} d x

\int - t z d t

e^{2 x} y^{^{'}} - 2 e^{2 x} y = 3 e^{4 x}

x \to 5 - lim (\frac{12}{5 - x})