MA 114 Study Guide - Final Guide: Indeterminate Form, Improper Integral, Antiderivative
Document Summary
When answering these questions, please be sure to 1) check answers when possible, 2) clearly indicate your answer and the reasoning used to arrive at that answer (unsupported answers may receive. 3) there are 105 points on this exam, however if you earn more than 100 points, you will only be given a score of 100. 100: compute the following integrals, if possible. If an improper integral diverges, say so. sin3 x dx x2 dx. 0 x2 + 4 xex dx (a) z /2 (b) z sin2 x dx sin x (c) z /2 (d) z 1 (e) z (f) z (g) z (h) z 1 (i) z /2 (j) z . For each of these integrals, give the point or points where it is improper. 3. (a) give the de nition of a rational function. Give an example of a rational function. (b) give the de nition of a proper rational function.
