Integral Question: Areas between curves?

[baquid]

Homework Statement

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.

Homework Equations

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.

 

[Dick]

Homework Statement

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.

Homework Equations

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.

You should really show more of your work if you expect people to understand what region you are integrating over, but I think you are integrating over the wrong region. x=0 is the y-axis, and I don't see how the intersection at x=pi/2 is relevant.