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Solutions to the problems should be written in your handwriting. You may write your solutions out on a separate sheet of paper to scan and upload, or you may write on a tablet, but typed solutions will not be accepted and will receive a grade of "(". 1. Evaluate the integrals: (a) J m(I di (b) Jo Vez+16 (c) fapvati Viti do, p>0 (d) S 2. Find the area bounded by the region between the curves f(x) = x3 + 2x2 and g(x) = I' + 2r. 3. Find the area bounded by the region enclosed by the three curves y = r", y = -1, and y =-1. 4. Find the area of the triangle with vertices at the points (0,1), (3,4), and (4,2). USE CALCULUS. Answers: 1. (a) In | Inx| + C, (b) 1; (c) 10 pvi+ + C; (d) , sin '(alz?) + C 2. 37 square units 3. square units 4. 4.5 square units