MATH 1042 Study Guide - Final Guide: Partial Fraction Decomposition, Trigonometric Substitution, Antiderivative

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Document Summary

How to evaluate an integral by interpreting in terms of areas. How to tell if a function is able to be integrated. How to write an integral given an area of a graph. How to get integrate for symmetrical function (integrals of symmetry) How to solve for volume of curves around the axes. How to determine convergence or divergence of improper integrals using comparison theorem. How to solve for a limit that contains an indeterminate quotient. How to solve for a limit that contains an indeterminate product. How to solve for a limit that contains an indeterminate power. Convergence of a series based on its partial sums. Power series definition and how to write it in summation notation. How to find the ratio and interval of convergence. The maclaurin series for f(x) = e^x and f(x) = 1/(1-x) How to find the taylor series or maclaurin for a function given a point of center.