How do I find the antiderivative of f(x)=e^(-2x)f(x)=e2x?

1 Answer
Feb 11, 2015

The exponential e^xex derived or integrated is always equal to itself. However, you must be careful with the exponent.
In this case you have -22 in it so you have to take into account it.
So:
inte^(-2x)dx=e^(-2x)/(-2)+ce2xdx=e2x2+c

You can check your result by deriving it so that you ought to get the original integrand.