Tutorial to find integrals involving the product of powers of sin(x) and cos(x) with one of the two having an odd power. Exercises with answers are at the bottom of the page.
Exercises: Evaluate the following integrals.
1. cos3(x) sin2(x) dx
2. sin3(x) cos14(x) dx
Answers to Above Exercises
1. - (1/5)sin5(x) + (1/3)sin3(x)
2. (1/17)cos17(x) - (1/15)cos15(x)
More references on
integrals and their applications in calculus.