Consider the integral given by (2²-32) dz (a) Find an approximation to this integral (1) by using a Riemann sum with right endpoints and n-8. Your answer should be correct to four decimal places. Approximation of (1): R -1.5 Parts (b) and (c) will continue to consider the given integral (1), along with the following definition of a definite integral: (2) where z, are right hand endpoints. Note that instead of approximating an integral (with, say, 8 rectangles, as above), this expression allows us to use a limit of a sum to evaluate an integral exactly. [1(e)dx= = lim (1) 3 f(zi)Az, (b) Determine the Ar and z, that would be required if we wanted to evaluate integral (1) using definition (2). Your answer might include some i or n
Consider the integral given by (2²-32) dz (a) Find an approximation to this integral (1) by using a Riemann sum with right endpoints and n-8. Your answer should be correct to four decimal places. Approximation of (1): R -1.5 Parts (b) and (c) will continue to consider the given integral (1), along with the following definition of a definite integral: (2) where z, are right hand endpoints. Note that instead of approximating an integral (with, say, 8 rectangles, as above), this expression allows us to use a limit of a sum to evaluate an integral exactly. [1(e)dx= = lim (1) 3 f(zi)Az, (b) Determine the Ar and z, that would be required if we wanted to evaluate integral (1) using definition (2). Your answer might include some i or n
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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