# Math Help - Antiderivative of roots

1. ## Antiderivative of roots

I calculated the antiderivative of f(x) = (forth root of x^3) + (third root of x^4)

= 4/5(x^3)^5/4 + 3/4(x^4)^4/3 + C

However, I want to put back the answer the same way I found it, i.e. in the root (e.g. fourth root of x^3 + third root of x^4) . How do I do this?

2. (x^3)^5/4=x^(3*5/4)=x^(15/4)={x^3}*{x^(3/4)}