# Double integral

1. Jul 9, 2008

### Knissp

1. The problem statement, all variables and given/known data
$$\int\int_R x-1 dA$$
R is the region in the first quadrant enclosed between y=x and y=x^3

2. Relevant equations

3. The attempt at a solution

I set up the bounds as follows: $$\int_{x=0}^1\int_{y=x^3}^x x-1 dydx$$

Integrating, I get -7/60, verified with CAS.

I thought this was an easy problem but my answer doesn't match the textbook (-1/2 but could be a misprint, right?) or did I somehow put the bounds of integration wrong?

2. Jul 9, 2008

### Dick

It looks fine to me.

3. Jul 9, 2008