Antiderivative + Cube Root?

Question

Is this the correct?

f ' (x) = cube rt.(x) = x^(1/3)

F(x) = (3/4)x^(4/3)

Answer 1

Yes, you are correct.

Answer 2

Hmm, im not sure about your terminology.

The antiderivate of f ` (x) is f(x) but, usually capital f(x) means the antiderivative of f(x). Since you wrote F(x) instead of f(x) I would say that you have to do an additinal antiderivative of your answer. Meaning F(x) = (9/28) x^(7/3). But if youre sure about the terminology my mistake, and the original answer is correct