Question

why does the integral of e^2x = (e^2x)/2?

Answer 1

because of chain rule..

Answer 2

how's that go again?

Answer 3

e^2x >>> e^2x * d/dx of 2x? no

Answer 4

d/dx of 2x is 2
so how come e^2x >>>> 2 e^2x ??

Answer 5

You have to divide by the derivative of the inside function for integration.
You multiply by the derivative of the inside function for differentiation.