SOLUTIONS - Northwestern University
MATH 214-2 - Fall 2001 - Final Exam (solutions) SOLUTIONS 1. (Numerical Integration) Find the Trapezoidal (T 4), Midpoint (M 4) and Simp-son’s (S 4) approximations with 4 subintervals to the following integral: Z 2 2 x2 dx: Solution: Note that in all cases x= 2 ( 2) 4 = 1. 1. Trapezoidal approximation: T 4 = x 2 fy 2 0 + 2y 2 1 + 2y 2 + 2y 2 ... ................
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