Integrate 4e^2x
![Integrate 4e^2x](integrate-4e_2x/step-1.gif)
To integrate 4e^2x, also written as ∫4e2x dx, we notice that "4" is a constant multiplier.
![Move the constant multiplier outside.](integrate-4e_2x/step-2.gif)
We bring the constant multiplier outside of the integral; hence, we get a simpler version that is the same thing.
![Using this general rule for exponentials.](integrate-4e_2x/step-3.gif)
We use this general rule for integrating an exponential.
![Integration answer with square brackets.](integrate-4e_2x/step-4.gif)
Hence, the answer is this. The constant multiplier remains outside of the brackets.
![Simplify](integrate-4e_2x/step-5.gif)
We then simplify and remove the brackets.
![Answer](integrate-4e_2x/step-6.gif)
Solved!