Question

How do you integrate `int root3(x^2)dx`?

Answer 1

By the Power Law: `3/4x^(4/3)`

Explanation:

`root3(x^2)=x^(1/3)`. Hence using the Power Law (`int x^n dx=1/(n+1)x^(n+1)+c, n!=0`) you get `1/(1/3+1)x^(1/3+1)+c`