This lesson covers the integration of powers and products of secant and tangent, as well as cosecant and cotangent. The lesson covers various techniques, including substitution and integration by parts, to find the integrals of functions such as secant cubed x dx and tangent to the fifth x dx. The reduction formulas for odd powers of secant are derived and used in examples, and special tricks for finding the integrals of even powers of secant are also explained. The lesson provides a comprehensive overview of techniques for integrating these types of functions.
Integral of (sec x)^m (tan x)^n dx and integral of (csc x)^m (cot x)^n dx.
Copyright 2005, Department of Mathematics, University of Houston. Created by Selwyn Hollis. Find more information on videos, resources, and lessons at http://online.math.uh.edu/HoustonACT/videocalculus/index.html.