In the interval (0 is less than or equal to x which is less than or equal to 5), the graphs of y=cos(2x) and

Question

y=sin(3x) intersect four times. Let A, B, C, and D be the x-coordinates of these points so that 0<A<B<C<D<5. Which of the definite integrals below represents the largest number?

a) The integral from 0 to A of (cos2x-sin3x)dx
b) The integral from A to B of (sin3x-cos2x)dx
c) The integral from B to C of (sin3x-cos2x)dx
d) The integral from C to D of (cos2x-sin3x)dx
e) The integral from C to D of (sin3x-cos2x)dx

Can you please explain the process in finding the answer?