Question

How do you find the antiderivative of `x^(3/2)`?

Answer 1

`2/5 sqrt x^5` + c

Explanation:

`int x^(3/2) dx`

= `x^(3/2 + 1)/((3/2 +1)`

= `x^(5/2)/(5/2)`

= `2/5x^(5/2) + c`

= `2/5 sqrt x^5` + c