Question

How do you find the antiderivative of `e^(3x)`?

Answer 1

`int e^(3x) \ dx = 1/3e^(3x) + C`

Explanation:

Using `d/dx e^(ax) = ae^(ax) <=> int ae^(ax) \ dx = e^(ax) + C'`

`:. \ int e^(ax) \ dx = e^(ax)/a + C`

Hence, `int e^(3x) \ dx = 1/3e^(3x) + C`