sum7.4.20 - Week 3 Homework Wed Thurs Mon 7.3 trig substitution text ex 3#27 7.4 partial fractions#21 below#25 7.7 approximate integration answers as

# sum7.4.20 - Week 3 Homework Wed Thurs Mon 7.3 trig...

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Week 3 Homework: Wed, Thurs, Mon 7.3 trig substitution – text ex 3, #27 7.4 partial fractions – #21 below, #25 7.7 approximate integration — answers as sums 7.8 improper integrals (first case) 8.2 surface areas (rotation about x -axis)
2 Homework notes: In 7.3, #27 done in-class. This week’s problems are #3, 12, 24 (added), 27. For 7.4, just the problems from the Fall 2004 list between #9 and #38. Problems listed from 7.5 remain on this week’s syllabus. For 7.7, see example below; decimal approximations will not be on exam, answers as explicit sums will be. 7.8 - 5,8,9 and 8.2 - 5, 8, 10, 11 as covered in class toda Problem 7.4.20: Evaluate Z x 2 ( x - 3)( x + 2) 2 dx. Solution: The method of partial fractions says there are A, B, C so x 2 ( x - 3)( x + 2) 2 = A x - 3 + B x + 2 + C ( x + 2) 2 . As in previous cases, we first clear denominators, multiplying both sides by ( x - 3)( x + 2) 2 , so x 2 = A ( x + 2) 2 + B ( x - 3)( x + 2) + C ( x - 3) .
Again as in previous cases, we plug in the distinct real