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5. Compute either the LHS or RHS for the following integral. Draw the representative rectangles. Sa+x*)dx n = 4 4- 3- 2- 0.5 1 1.5

5. Compute either the LHS or RHS for the following integral. Draw the representative rectangles. Sa+x*)dx n = 4 4- 3- 2- 0.5 1 1.5

Advanced Engineering Mathematics
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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Compute either the LHS or RHS for the following integral. Draw the representative rectangles. 2 n = 4 4- 3- 2- 1 0.5 1 1.5 5.
Transcribed Image Text:Compute either the LHS or RHS for the following integral. Draw the representative rectangles. 2 n = 4 4- 3- 2- 1 0.5 1 1.5 5.
Expert Solution
Step 1

The right hand sum(RHS) uses the right endpoints of the subintervals to approximate the integral ∫abf(x)dx in the interval a, b. 

The formula that is used in this case can be represented as ∫abf(x)dx≈hfx1+fx2+⋯⋯+fxn, where h=b-an, n is the number of sub-intervals.

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