# How to integrate e^{2x}?

We are going to use the substitution method for the integration of this.

## Answer: The integration of e^{2x} is [(e^{2x})/2] + c, by using the substitution method for the integration.

Let's solve this step by step.

**Explanation:**

Consider the given integral.

I=∫e^{2x}dx

Apply substitution method :

u = 2x → du = 2dx → dx = du/2

Therefore,

I = ∫e^{2x}dx= ∫(e^{u}/2)du

= (1/2) e^{u} + c = (e^{2x}/2) + c