Question

Evaluate the integral of e^(5x)dx

Answer 1

I = $\int$ e^5x $dx$

We know that,

$\int$ e^(ax) $dx$ = $\dfrac{e^{ax}}{\dfrac{d}{dx}(ax)}$ + C = $\dfrac{e^{ax}}{a}$ + C

On comparing this formula with our question, we find that

a = 5

So, I = $\int$ e^5x $dx$ = $\dfrac{e^{5x}}{5}$ + C