integral from 0 to 3 of 4^{4x}

Lösung

\int_{0}^{3} 4^{4 x} d x

\frac{16777215}{8 ln ( 2 )}

Dezimale

3025550.61005 \dots

Schritte zur Lösung

\int_{0}^{3} 4^{4 x} d x

Vereinfache

4^{4 x} : 25 6^{x}

= \int_{0}^{3} 25 6^{x} d x

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

= [\frac{25 6 ^{x}}{ln ( 256 )}]_{0}^{3}

\frac{25 6 ^{x}}{ln ( 256 )} = \frac{2 ^{8 x - 3}}{ln ( 2 )}

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

Berechne die Grenzen:

\frac{16777215}{8 ln ( 2 )}

= \frac{16777215}{8 ln ( 2 )}

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