Integrate ae^bx

Integrate ae^bx

To integrate ae^bx, also written as ∫aebx dx, we notice that "a" is a constant multiplier.

Take the constant multiplier outside of the integral.

We bring the constant multiplier outside of the integral; hence, we get a simpler version that is the same thing.

Using the general rule for integrating e^bx dx

We use this general rule for integrating an exponential.

Answer

Hence, the answer is this. The constant multiplier remains outside of the square brackets.

Simplifying the answer.

We then simplify by removing the square brackets.

Examples

ae^bx
2e^2x
3e^2x
4e^2x
5e^2x
6e^2x
7e^2x
8e^2x
8e^-2x
9e^2x
10e^2x