Integrate ae^x
![Integrate ae^x](integrate-a_e_x/step-1.gif)
To integrate ae^x, also written as ∫aex dx, we realise that "a" is a constant multiplier that could be taken outside of the integral.
![Take the constant outside the integral.](integrate-a_e_x/step-2.gif)
With the numeral constant brought outside, we see that the integral is still the same but easier to perform.
![e^x is simple to integrate.](integrate-a_e_x/step-3.gif)
We know that ∫ex dx = ex + C, which is the easiest one in calculus to perform.
![Final Solution.](integrate-a_e_x/step-4.gif)
Finally, we multiply with the constant "a", to give the answer.
Examples
ae^x2e^x
3e^x
4e^x
5e^x
6e^x
7e^x
8e^x
9e^x
10e^x