Integrate ae^bx
To integrate ae^bx, also written as ∫aebx dx, we notice that "a" is a constant multiplier.
We bring the constant multiplier outside of the integral; hence, we get a simpler version that is the same thing.
We use this general rule for integrating an exponential.
Hence, the answer is this. The constant multiplier remains outside of the square brackets.
We then simplify by removing the square brackets.
Examples
ae^bx2e^2x
3e^2x
4e^2x
5e^2x
6e^2x
7e^2x
8e^2x
8e^-2x
9e^2x
10e^2x