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Beliebt Rechnen >

integral of 2^{4x}

Lösung

\int 2^{4 x} d x

Lösung

\frac{2 ^{4 x - 2}}{ln ( 2 )} + C

Schritte zur Lösung

\int 2^{4 x} d x

Vereinfache

2^{4 x} : 1 6^{x}

= \int 1 6^{x} d x

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

= \frac{1 6 ^{x}}{ln ( 16 )}

Vereinfache

\frac{1 6 ^{x}}{ln ( 16 )} : \frac{2 ^{4 x - 2}}{ln ( 2 )}

= \frac{2 ^{4 x - 2}}{ln ( 2 )}

Füge eine Konstante zur Lösung hinzu

= \frac{2 ^{4 x - 2}}{ln ( 2 )} + C

Graph

Beliebte Beispiele

derivative of x(x-4)

\frac{d}{d x} (x (x - 4))

sum from n=0 to infinity of n/(n+1)

n = 0 \sum \infty \frac{n}{n + 1}

integral of t/(3t^2+4)

\int \frac{t}{3 t ^{2} + 4} d t

limit as x approaches 0 of (sin(x))/(sin(2x))

x \to 0 lim (\frac{sin ( x )}{sin ( 2 x )})

integral of ((x^2+1))/(x^3+1)

\int \frac{( x ^{2} + 1 )}{x ^{3} + 1} d x