Find the indefinite integral. $$\int 6 ^ { 5 x } d x$$
A) $\frac { 1 } { \ln 6 } 6 ^ { 5 x } + C$
B) $\frac { 1 } { 5 } 6 ^ { 5 x } + C$
C) $\frac { \ln 6 } { 5 } 6 ^ { 5 x } + C$
D) $\frac { 1 } { 5 \ln 6 } 6 ^ { 5 x } + C$
E) $5 ( \ln 6 ) 6 ^ { 5 x } + C$

Question

Quizplus · Accepted Answer

The integral of $a^{bx}$ with respect to $x$ is $\frac{1}{b \ln a} a^{bx} + C$, where $a > 0$, $a \neq 1$, and $b$ is a constant. Applying this rule with $a = 6$ and $b = 5$, we get $\frac{1}{5 \ln 6} 6^{5x} + C$.

Find the Indefinite Integral ∫65xdx\int 6 ^ { 5 x } d x∫65xdx

Find the Indefinite Integral $\int 6 ^ { 5 x } d x$