MATH 100 Midterm: MATH 100 KSU Test 1u05
15 Feb 2019
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Ta"s name: this exam is closed book. You may use one 8. 5 11 sheet of handwritten notes (both sides ok). 3: in order to receive credit, you must show all of your work. Please make sure that your exam is complete. Page 1 of 10: (10 total points) evaluate the following inde nite integrals. (a) (5 points) z x2 ln x dx (b) (5 points) z tan3(x) sec(x) dx. Page 2 of 10: (10 total points) evaluate the following de nite integrals. (a) (5 points) z ln 2. 7e2t e2t + 3et + 2 dt (b) (5 points) z 1/2. Page 4 of 10: (10 total points) y. A hallowe"en trick-or-treat bucket is formed by rotating this region around the y-axis. 5 x (a) (5 points) set up an integral (or a sum of integrals) using shells which equals the volume of plastic needed to construct the bucket.
