Extremely different integral problem

[calculusisfun]

Homework Statement

(a) Find the area A, as a function of j, of the region in the 1st quadrant enclosed by the y-axis and the graphs of y = x ^ (1/3) and y = j for j > 0.


2. The attempt at a solution

(a)
x^(1/3) = j
x = j^3

A(j) = integral of (j - x^(1/3))dx from 0 to j^3

Any help would be much appreciated! :)

Thanks

 

[Quinzio]

I'd begin by writing down the equation of the Area, so that I can plug in the parameter j and get a number which is the Area.

Just do it, then...