Question

How do you find the antiderivative for `1/2x^5`?

Answer 1

Using the backwards power rule, raise the degree by 1, then divide by the new degree. The original power rule is to multiply by the degree then lower it by 1, so all you do is reverse the steps and do the opposite for each step.

`F(1/2 x^5) = 1/(2*6) (x^6) = x^6/12`