I've just started learning double integration and I'm having trouble doing the following questions.

Use double integration to find the area of the following regions.

1) The region bounded by $\displaystyle y=x^3$ and $\displaystyle y=x^2$

Would this be how I'd start it off?

$\displaystyle \int_0^1\int_{x^2}^{x^3} \ dy \ dx$

2) The region bounded by $\displaystyle y=\sqrt{x}, y=x$ and $\displaystyle y=\frac{x}{2}$

$\displaystyle \int_0^1\int_{x/2}^x \ dy \ dx + \int_1^2\int_{x/2}^{\sqrt{x}} \ dy \ dx$