MATH 141 Midterm: MATH141 BOYLE-M SPRING2003 0101 MID EXAM 1

• School: University of Maryland
• Department: Mathematics
• Course: MATH 141
• Professor: All

Document Summary

1 (a) (20 points) compute the integral r tan7x sec4x dx. (b) (10 points) let sn denote the simpson"s rule estimate for a given r b and let en = |sn r b a f (x)dx|. Then we have a bound en bn, where a f (x)dx. 180 where the maximum is taken over the interval [a, b]. For n = 10 and the integral r 8. 2 1/(x + 3), compute the bound bn. Z x2 + x + 4 (x 1)2(x + 1) dx: (20 points) compute the following integral. 4(a) (15 points) compute the following improper integral. 1 x2 + 2x + 17 dx (b) (15 points) for each integral below, give the appropriate description: ; ; Dne (does not exist); or converges (i. e. the improper integral is well de ned and converges to a nite real number you don"t have to compute it).