MATH 1007 Lecture Notes - Lecture 20: Trigonometric Substitution, Logarithm, Function Composition
6 Apr 2016
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Overall strategy for integraion: simplify the integrand if possible (put trigonometric funcions in terms of sin and cos; muliply. Integraion by parts ater a polynomial is muliplied by a trigonometric, exponenial and logarithmic funcion: ex: x2sinx and make the polynomial your u" ii. If lanx is there, then let the lanx be the u": radicals use trigonometric subsituion (learn this stuf cause i suck at it) If given composite funcion, know how to get their domains and ranges (funcions within funcions) Know general sketch look, general range/domain, general key points of: Lim as x ininity of f(x) = b. Lim as x a of f(x) = c y=b is a horizontal asymptote x=c is a verical asymptote. Know if a funcion is coninuous or not. Know how to derive with the rules for; You would just be given a funcion and you have to sketch it! Get criical points when f"(x) = 0 or dne.
