(a) Show geometrically why - 1 0 2 x2 dx = 4 + 1 2 . [Hint: Break up the area under y =
Chapter 7, Problem 29(choose chapter or problem)
(a) Show geometrically why - 1 0 2 x2 dx = 4 + 1 2 . [Hint: Break up the area under y = 2 x2 from x = 0 to x = 1 into two pieces: a sector of a circle and a right triangle.] (b) Approximate - 1 0 2 x2 dx for n = 5 using the left, right, trapezoid, and midpoint rules. Compute the error in each case using the answer to part (a), and compare the errors.
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