Integral Question: Areas between curves?

1. The problem statement, all variables and given/known data



Sketch the region in the first quadrant enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region.

y=4cosx, y=6sin2x, x=0.



2. Relevant equations







3. The attempt at a solution



I got the intersections, which are x=pi/2, arcsin1/3 as well as x=0 but I seem to keep getting 10/3, which is not the right answer.

1. The problem statement, all variables and given/known data







2. Relevant equations







3. The attempt at a solution