Question

Integrate the following with respect to x:

`root(3)(x^4)`

Answer 1

`int root(3)(x^4)  "d"x = int x^(4/3) * "d"x`

= `(x^(4/3 + 1))/(4/3 + 1) + "c"`

= `(x^(4 + 3/3))/((4 + 3)/3) + "c"`

= `3/7 x^(7/3) + "c"`