integral from-infinity to 6 of 10xe^{2x}

Lösung

\int_{- \infty}^{6} 10 x e^{2 x} d x

\frac{55 e ^{12}}{2}

Dezimale

4475756.76402 \dots

Schritte zur Lösung

\int_{- \infty}^{6} 10 x e^{2 x} d x

Berechne das unbestimmte Integral:

\int 10 x e^{2 x} d x = 5 e^{2 x} x - \frac{5}{2} e^{2 x} + C

Berechne die Grenzen:

\int_{- \infty}^{6} 10 x e^{2 x} d x = e^{12} \frac{55}{2} - 0

= e^{12} \frac{55}{2} - 0

Vereinfache

= \frac{55 e ^{12}}{2}

\frac{d}{d x} (ln (x x^{2} - 2))

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