Tutorial Exercise Evaluate the integral. 15 sin2(x) cos(x) dx Step 1 Since 15 sin(x) cos(x) dx has an odd power of of cos(x), we will convert all but one power to sines. We know that COS(x) = 1 sin(x). Step 2 Making this substitution using 15 sin2(x) cos (x) dx gives us 15 15 sin(x) (1-sin(x)) cos(x) dx = 15 sin2(x) cos(x) dx - 15 sin(x)cos(x) dx. 15 sin(x) cos(x) Step 3 Since cos(x) is the derivative of sin(x), then ns 15 sin(x) cos(x) dx can be done by substituting u = and du= dx. Submit Skip (you cannot come back)