Question

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

Answer 1

I got:
`e^(5x)/5+c`

Explanation:

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

or we can use the general rule to say that:
`inte^(kx)dx=e^(kx)/k+c`
where `k and c` are two constants.
We need the second constant `c` in the result to cover all the possibilities for our Primitive Function.