# How do you evaluate the integral int e^(5x)?

Feb 23, 2017

I got:
${e}^{5 x} / 5 + c$

#### Explanation:

Here you need to find a function (Primitive) that derived gives you ${e}^{5 x}$.
We can guess immediately that this function could be:
${e}^{5 x} / 5 + \text{constant}$
that derived gives us the integrand;

or we can use the general rule to say that:
$\int {e}^{k x} \mathrm{dx} = {e}^{k x} / k + c$
where $k \mathmr{and} c$ are two constants.
We need the second constant $c$ in the result to cover all the possibilities for our Primitive Function.