integral from 0 to 3 of 3^{3x}

Lösung

\int_{0}^{3} 3^{3 x} d x

\frac{19682}{3 ln ( 3 )}

Dezimale

5971.77615 \dots

Schritte zur Lösung

\int_{0}^{3} 3^{3 x} d x

Vereinfache

3^{3 x} : 2 7^{x}

= \int_{0}^{3} 2 7^{x} d x

\int a^{x} d x = \frac{a ^{x}}{ln a}

= [\frac{2 7 ^{x}}{ln ( 27 )}]_{0}^{3}

\frac{2 7 ^{x}}{ln ( 27 )} = \frac{3 ^{3 x - 1}}{ln ( 3 )}

= [\frac{3 ^{3 x - 1}}{ln ( 3 )}]_{0}^{3}

Berechne die Grenzen:

\frac{19682}{3 ln ( 3 )}

= \frac{19682}{3 ln ( 3 )}

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