integral from-infinity to 0 of 13^x

Lösung

\int_{- \infty}^{0} 1 3^{x} d x

\frac{1}{ln ( 13 )}

Dezimale

0.38987 \dots

Schritte zur Lösung

\int_{- \infty}^{0} 1 3^{x} d x

Berechne das unbestimmte Integral:

\int 1 3^{x} d x = \frac{1 3 ^{x}}{ln ( 13 )} + C

Berechne die Grenzen:

\int_{- \infty}^{0} 1 3^{x} d x = \frac{1}{ln ( 13 )} - 0

= \frac{1}{ln ( 13 )} - 0

Vereinfache

= \frac{1}{ln ( 13 )}

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