integral from-infinity to 8 of re^{r/2}

Lösung

\int_{- \infty}^{8} r e^{\frac{r}{2}} d r

12 e^{4}

Dezimale

655.17780 \dots

Schritte zur Lösung

\int_{- \infty}^{8} r e^{\frac{r}{2}} d r

Berechne das unbestimmte Integral:

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

Berechne die Grenzen:

\int_{- \infty}^{8} r e^{\frac{r}{2}} d r = 12 e^{4} - 0

= 12 e^{4} - 0

Vereinfache

= 12 e^{4}

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