MATH 125 Quiz: MATH 125 UWashington Quizaut17 koblitz 2
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11:30 a. m. , nov. 16, 2017 (80 minutes 100 points) Please show all your work clearly, and cross out any erroneous work that you do not want considered. If you need more space, you can use the reverse side. A sheet of notes is permitted, but no calculator or other electronic device: find the following inde nite integrals: (a) (20 points) z cos(1/ x)dx x2 (b) (20 points) z x dx (2x x2)3/2 (continued on next page) 1 has 1 as a root, it is the product of x 1 and a quadratic factor (which cannot be factored). Using this, nd the quadratic factor and then nd the partial fraction decomposition of. 7x2 + 8 x3 1 (continued on next page) 2: (20 points) determine whether or not the following improper integral converges. If it does converge, determine its value exactly (as a multiple of. 1 + ex . (continued on next page)