Integrate 3e^2x

Integrate 3e^2x

To integrate 3e^2x, also written as ∫3e2x dx, we notice that "3" is a constant multiplier.

Move the constant multiplier outside.

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.

We use this general rule for integrating an exponential.

Integration answer with square brackets.

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

Answer

We then simplify and remove the brackets.