Math 20BSecond Exam (125 points)4:40 PMMarch 5, 2001•Please put your name, ID number, and section number (or time) on your blue book.•The exam is CLOSED BOOK, but you may use ONE SHEET OF NOTES.•Calculators are NOT allowed.•You must show your work to receive credit.1. (80 pts.) Evaluate the following integrals. Remember to show your work!(a)Z1/20x√1-x2dx(b)Z√t‡t+3√t·dt(c)Zsin2tcos3t dt(d)Z(lnx)2dx(e)Z1-11x3dx2. (15 pts.)Set up the integral for the volume of the solid obtained by rotating theregion bounded byy= 0,y= sinx,0≤x≤πabout the liney= 1.Your answer should include a sketch of the region togetherwith the line about which the region is being rotated.
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