Re: Integration,
use Maple, and find the solution as:
Maple input> integral:=Int((sin(A*cos(x))/cos(x))^2 * sin (x)^3,x=0..Pi);
Pi
/ 2 3
| sin(A cos(x)) sin(x)
integral := | ---------------------- dx
| 2
/ cos(x)
0
Maple input> int((sin(A*cos(x))/cos(x))^2 * sin (x)^3,x=0..Pi);
-3 A + 2 A cos(A)*cos(A) + cos(A) sin(A) + 2 Si(2 A) A*A
-----------------------------------------------------------------
A
if A=1, answer: -2+cos(2)+cos(1)*sin(1)+2*Si(2)
regards,
Lkuzu