In this lesson, we learn how to integrate powers and products of sine and cosine. We explore the different methods of integration for odd and even powers of sine and cosine, including using substitution, power reduction formulas, and integration by parts. We also learn how to handle products of factors with different periods using trigonometric product to sum formulas. By the end of the lesson, we have a comprehensive understanding of how to integrate various combinations of powers and products of sine and cosine.
Integral of (cos x)^m (sin x)^n dx. Also, integral of cos(ax) sin(bx) dx, etc.