1. ## Integration word problem

I need to find the number b such that the line y=b divides the region bounded by the curves y=x^2 and y=4 evenly. I know it will be larger than 2 obviously, however I can't seem to figure out how to approach the problem. Any help would be much appreciated.

2. since the graph is symmetrical over the y-axis, work in quad I

determine the area, $A = \int_0^4 \sqrt{y} \, dy$

now, set $\frac{A}{2} = \int_0^b \sqrt{y} \, dy$ and solve for $b$.

4^(2/3)