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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Let f(x) = 7x be a function defined on
[0, 2).
1) Find the simplified form of the Riemann sum by dividing the
interval [0, 2] into n equal subintervals. Choose c to be the
right-hand endpoint of each sub-interval. Note: By simplified form,
I mean the form whose limit can be taken.
2) Find the area under the function on [0, 2] by taking the limit of
your answer found in part 1) as n goes to infinity.
Transcribed Image Text:Let f(x) = 7x be a function defined on [0, 2). 1) Find the simplified form of the Riemann sum by dividing the interval [0, 2] into n equal subintervals. Choose c to be the right-hand endpoint of each sub-interval. Note: By simplified form, I mean the form whose limit can be taken. 2) Find the area under the function on [0, 2] by taking the limit of your answer found in part 1) as n goes to infinity.
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