MATH 100 Midterm: MATH 100 KSU Test 1s07

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Ta"s name: turn off all cell phones, pagers, radios, mp3 players, and other similar devices, this exam is closed book. You may use one 8. 5 11 sheet of handwritten notes (both sides ok). No photocopied materials are allowed: you can use a texas instruments ti-30x iis calculator. No other calculators are permitted: in order to receive credit, you must show all of your work. Please make sure that your exam is complete. Page 1 of 10: evaluate the following de nite integrals. (a) (5 points) z 4. 2x + 1 dx (b) (5 points) z 3. Page 2 of 10: evaluate the following inde nite integrals. (a) (5 points) z dx x(x2 1)3/2 (here we assume x > 1. ) (b) (5 points) z 1 x2 tan 1(x) dx. You must justify your answer. (b) (5 points) a solid of revolution is formed by rotating the region r about the y-axis.