Evaluate the following integral: $\int 3 e ^ { 7 x } d x$
A) $\frac { 3 } { 7 } e ^ { 7 x } + C$
B) $3 e ^ { 7 x } + C$
C) $21 e ^ { 7 x } + C$
D) $\frac { 3 } { 8 } e ^ { 8 x } + C$

Question

Quizplus · Accepted Answer

The integral of $3e^{7x}$ with respect to $x$ is $\frac{3}{7}e^{7x} + C$, because when integrating $e^{ax}$, the coefficient $a$ in the exponent comes down to the denominator as part of the integration process.

Evaluate the Following Integral ∫3e7xdx\int 3 e ^ { 7 x } d x∫3e7xdx

Evaluate the Following Integral $\int 3 e ^ { 7 x } d x$