Integrate 2e^2x

Integrate 2e^2x

To integrate 2e^2x, also written as ∫2e2x dx, we notice that "2" 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.

Simplified final answer.

This is the final answer.