MAT 127 Midterm: S06mt1
31 Jan 2019
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Your university id number: no calculators or notes are allowed on this exam, please show all your work. You may use backs of pages if necessary. You may not receive full credit for a correct answer if there is no work shown: you do not need to simplify all the way. Acceptable answer: (4(22) 2) (4 1). 100: (20 pts) compute the following integrals. (a) z xex2 dx (b) z 1. 0 xex dx: (20 pts) compute the following integrals. (a) z cos3(x) sin4(x) dx (b) z 2x + 1 x2 + 4 dx, (10 pts) (a) give the form of the partial fractions decomposition of. Do not solve for the constants a, b, . Do not integrate anything. (b) solve for one (your choice) of the unknown constants a, b, . above: (16 pts) compute the following integral: z. 1 x2 x2 9 dx: (16 pts) (a) use the trapezoidal rule with n = 4 to approximate.
