Integrate 4e^x
![Integrate 4e^x](integrate-4_e_x/step-1.gif)
To integrate 4e^x, also written as ∫4ex dx, we realise that "4" is a constant multiplier that could be taken outside of the integral.
![Take the constant outside the integral.](integrate-4_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-4_e_x/step-3.gif)
We know that ∫ex dx = ex + C, which is the easiest one in calculus to perform.
![Final Solution.](integrate-4_e_x/step-4.gif)
Finally, we multiply with the constant "4", to give the answer.