9. a. b. Let f(x) = ln x and consider the interval [1,3]. Approximate the area under f(x) using left endpoints with 4 rectangles. Approximate the area under f(x) using right endpoints with 4 rectangles.
9. a. b. Let f(x) = ln x and consider the interval [1,3]. Approximate the area under f(x) using left endpoints with 4 rectangles. Approximate the area under f(x) using right endpoints with 4 rectangles.
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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Question
![9.
a.
b.
Let f(x)
=
In x and consider the interval [1, 3].
Approximate the area under f(x) using left endpoints with 4 rectangles.
Approximate the area under f(x) using right endpoints with 4 rectangles.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa17b68c5-364b-49f9-8889-84e65ef1bef7%2F756bee4e-7515-45d0-9754-6799c6694bd3%2Fw4vckon_processed.jpeg&w=3840&q=75)
Transcribed Image Text:9.
a.
b.
Let f(x)
=
In x and consider the interval [1, 3].
Approximate the area under f(x) using left endpoints with 4 rectangles.
Approximate the area under f(x) using right endpoints with 4 rectangles.
Expert Solution

Step 1
The left Riemann Sum also known as the left endpoint approximation uses the left endpoint of a subinterval for computing the height of the approximating rectangle while right endpoint approximation uses the left endpoint of a subinterval for computing the height of the approximating rectangle.
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