MATH 121 Midterm: MATH 121 2006 Winter Test 2

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9 Jan 2019
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There are 11 pages in this test including this cover page. No calculators, books, notes, or electronic devices of any kind are permitted. I have read and understood the instructions and agree to abide by them. Put your answer in the box provided but show your work also. Full marks will be given for correct answers placed in the box, but at most 1 mark will be given for incorrect answers. Unless otherwise stated, simplify your answers as much as possible. (a) evaluate r (2y + 1)5dy. (b) evaluate r e. 1 x(ln(x))2 dx. (c) let f (x) = r 0 ex cos3(t)dt. Find f (x). (d) calculate the volume of the solid obtained by rotating the region above the x-axis, below the curve y = sin(x)/x, and between the lines x = /2 and x = about the y-axis.