textbook-theory · English
Difference Equations to Differential Equations: Section 4.5 More Techniques of Integration
Section 4.5 of Dan Sloughter's open calculus textbook 'Difference Equations to Differential Equations,' covering integration by parts derived from the product rule, along with trigonometric identity techniques for evaluating integrals involving powers of sine and cosine. The section presents the standard udv = uv - vdu formula, works through numerous examples including definite integrals, and concludes with a problem set and discussion of computer algebra systems as modern tools for symbolic integration.
integration by partstrigonometric integralscalculussubstitution