MAT 132 Study Guide - Midterm Guide: Partial Fraction Decomposition

• School: Stony Brook University
• Department: Mathematics
• Course: MAT 132
• Professor: All

Document Summary

Total (10 pts) (10 pts) (10 pts) (10 pts) (10 pts) (10 pts) (15 pts) (25 pts) (100 pts) 2, not 1. 4) and simplify them as much as possible (e. g. (4) answer all questions in the space provided. If you need more room use the blank backs of the pages. (5) show your work; correct answers alone will receive only partial credit. Then du = 1 x2+1 dx and we have: (cid:90) 1 arctan2(x) + 1. 0 x2 + 1 u2 + 1 du u2 + 1 du (cid:90) arctan(1) (cid:90) arctan(0) Grading: 3 points for nding u and du, 7 points for writing the integral in terms of u and computing the integral. You would lose 3 points if you didn"t change your bounds after u-substitution, and 1 or. 2 points if you didn"t simplify the nal answer. We use integration by parts where u = e3t and dv = cos(2t)dt.