MA 2113 Midterm: MATH 221 MSState math 221 Practice Exam 3
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Follow the instructions for each question and show enough of your work so that i can follow your thought process. If i can"t read your work or answer, you will receive little or no credit! For problems 1-4, integrate the following de nite or inde nite integrals: z 3x4(cid:0)4x5 + 2(cid:1)10 dx, z 1. 3: if f (x) is continuous and z 4. 0 f (2x)dx: determine if the following integral converges or diverges: z . For problems 7 and 8, nd the area between the indicated curves: the curves, y = x3, y3 = x, the curves, y = x2. X3 and y = 0 about the line x = 2 using shells. (set up the integral only, do not evaluate it. ) 6: let f (x) = z tan x. 0 q1 + tdt , nd f (x): use simpson"s rule to nd z 2. 1 + x dx , using n = 8.
