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Beliebt Rechnen >

integral from 0 to 1 of 8^{2x}

Lösung

\int_{0}^{1} 8^{2 x} d x

Lösung

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

+1

Dezimale

15.14829 \dots

Schritte zur Lösung

\int_{0}^{1} 8^{2 x} d x

Vereinfache

8^{2 x} : 6 4^{x}

= \int_{0}^{1} 6 4^{x} d x

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

= [\frac{6 4 ^{x}}{ln ( 64 )}]_{0}^{1}

\frac{6 4 ^{x}}{ln ( 64 )} = \frac{2 ^{6 x - 1}}{3 ln ( 2 )}

= [\frac{2 ^{6 x - 1}}{3 ln ( 2 )}]_{0}^{1}

Berechne die Grenzen:

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

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

Graph

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