Question

`int_x^2e^(3x)dx` solve?

Answer 1

`1/3(e^6 - e^(3x))`

Explanation:

We have,

`int_x^2 e^(3x) dx`

`= [1/3e^(3x) ]_x^2` [As `int e^(mx)dx = 1/me^(mx) + C`]

`= 1/3e^(3 * 2) - 1/3e^(3 * x)`

`= 1/3(e^6 - e^(3x))`

And We got our answer. Hope this helps.