Math Help - Find the Area of the Region

1. Find the Area of the Region

Decide whether to integrate with respect to x or y. Then find the area of the region.
y=2x, y=4x^2

Not really sure how to begin this problem.
Any help is appreciated.
Thank you

2. You could do either.

wrt x: $\int_{0}^{\frac{1}{2}}[2x-4x^{2}]dx$

wrt y: $\int_{0}^{1}[\sqrt{\frac{y}{4}}-\frac{y}{2}]dy$

I believe x is easier.

3. Thank you!

the answer was 0.0833333...

4. Yes, very good. Except write 1/12 instead. Looks better.