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Beliebt Rechnen >

integral from 0 to 2 of 8^x

Lösung

\int_{0}^{2} 8^{x} d x

Lösung

\frac{21}{ln ( 2 )}

+1

Dezimale

30.29659 \dots

Schritte zur Lösung

\int_{0}^{2} 8^{x} d x

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

= [\frac{8 ^{x}}{ln ( 8 )}]_{0}^{2}

Vereinfache

ln (8) : 3 ln (2)

= [\frac{8 ^{x}}{3 ln ( 2 )}]_{0}^{2}

Berechne die Grenzen:

\frac{21}{ln ( 2 )}

= \frac{21}{ln ( 2 )}

Graph

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