integral from-infinity to 0 of 7^r

Lösung

\int_{- \infty}^{0} 7^{r} d r

\frac{1}{ln ( 7 )}

Dezimale

0.51389 \dots

Schritte zur Lösung

\int_{- \infty}^{0} 7^{r} d r

Berechne das unbestimmte Integral:

\int 7^{r} d r = \frac{7 ^{r}}{ln ( 7 )} + C

Berechne die Grenzen:

\int_{- \infty}^{0} 7^{r} d r = \frac{1}{ln ( 7 )} - 0

= \frac{1}{ln ( 7 )} - 0

Vereinfache

= \frac{1}{ln ( 7 )}

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