MAT 296 Study Guide - Midterm Guide: Antiderivative, Partial Fraction Decomposition
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Be sure to read the directions of problems carefully, as sometimes you are asked to evaluate an expression and sometimes not. If you can use the result of an earlier problem in a. later one, you do not need to redo the earlier problem. To receive full or partial credit the correct work leading to the correct answer must be written down. No books, notes, calculators or other electronic devices, or collaboration with others. Total i (1) (15 points) (a) find the partial fraction decomposition: 1 x2 (1 + x) (b) evaluate the indefinite integral: J cos2 (jd(j (c) find the antiderivative or (1 - x 2) having value o at x = 0. 2 (2) (10 points) determine if the integral converges or diverges, and find the value if it converges: (a) (b) fl. If it is conver(cid:173) gent, find the sum: 6 (6) (15 points) decide whether each of the indicated series converges or diverges.