Math2.org Math Tables: Integral e^x

 

Discussion of ex dx = ex + C.

1. Proof

Since we know the derivative:  e^x = e^x,
we can use the Fundamental Theorem of calculus:
e^x dx =   (e^x) dx = e^x + C
Q.E.D.

See also the proof that  e^x = e^x.  PROOF