How to integrate e2x?
We are going to use the substitution method for the integration of this.
Answer: The integration of e2x is [(e2x)/2] + c, by using the substitution method for the integration.
Let's solve this step by step.
Consider the given integral.
Apply substitution method :
u = 2x → du = 2dx → dx = (u/2)du
I = ∫e2xdx= ∫(eu/2)du
= (1/2) ∫(eu/2)du = (e2x/2) + c