integral from-infinity to 0 of 3^{8x}

Lösung

\int_{- \infty}^{0} 3^{8 x} d x

\frac{1}{8 ln ( 3 )}

Dezimale

0.11377 \dots

Schritte zur Lösung

\int_{- \infty}^{0} 3^{8 x} d x

Berechne das unbestimmte Integral:

\int 3^{8 x} d x = \frac{656 1 ^{x}}{8 ln ( 3 )} + C

Berechne die Grenzen:

\int_{- \infty}^{0} 3^{8 x} d x = \frac{1}{8 ln ( 3 )} - 0

= \frac{1}{8 ln ( 3 )} - 0

Vereinfache

= \frac{1}{8 ln ( 3 )}

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