1. The problem statement, all variables and given/known data Using ∫∫kdA = k(b-a)(d-c), where f is a constant function f(x,y) = k and R = [a,b]x[c,d], show that 0 ≤ ∫∫sin∏xcos∏ydA ≤ 1/32, where R = [0,1/4]x[1/4,1/2]. 2. Relevant equations ∫∫kdA = k(b-a)(d-c) 0 ≤ ∫∫sin∏xcos∏ydA ≤ 1/32 3. The attempt at a solution I tried to integrate ∫∫sin∏xcos∏ydA, but that didn't utilize the ∫∫kdA = k(b-a)(d-c) part and I didn't use the fact that ∫∫sin∏xcos∏ydA is between 0 and 1/32. I don't know how to incorporate all of these aspects to show that 0 ≤ ∫∫sin∏xcos∏ydA ≤ 1/32.