MAT 201 Study Guide - Partial Fraction Decomposition, Trigonometric Substitution, List Of Trigonometric Identities
Document Summary
In this lecture, we"ll dive into integration techniques. Integration is the reverse process of differentiation, and by mastering the techniques, you"ll be able to find the antiderivative of a function and solve a wide range of problems. Integration by substitution: integration by substitution involves substituting a variable to simplify an integral. Integration by parts: integration by parts involves breaking down an integral into two parts and applying the product rule of differentiation. Trigonometric substitution: trigonometric substitution is a technique used to simplify integrals involving trigonometric functions. Partial fraction decomposition: partial fraction decomposition is a technique used to break down a rational function into simpler components. Improper integrals: improper integrals are integrals with infinite limits or discontinuities. Practice using integration by substitution to simplify integrals. Understand the product rule of integration for integration by parts. Know the different trigonometric identities and how to use them in trigonometric substitution. Practice breaking down rational functions using partial fraction decomposition.
