MATH-M 212 Lecture 7: 8.3 Notes (Sep. 19)
Document Summary
If power of sine is odd and positive, save one sine factor and convert remaining factors to cosines; expand and integrate. If power of cosine is odd and positive, save one cosine factor and convert remaining factors to sines; expand and integrate. If power of secant is even and positive, save a secant-squared factor and convert remaining factors to tangents; expand and integrate. If power of tangent is odd and positive, save a secant-tangent factor and convert remaining factors to secants; expand and integrate. If there are no secant factors and the power of the tangent is even and positive, convert a tangent-squared factor to a secant-squared factor; expand and repeat if necessary. If integral is of the form , where is odd and positive, use integration by parts. If none of first 4 guidelines apply try converting to sines and cosines can be done w/ u-sub 2 ways. Ex. o o o o o: same answer in different forms.
