(a) Find an approximation to the integral (x² - 4x) dx using a Riemann sum with right endpoints and n = 8. (Round your answer to four decimal places.) (b) Draw a diagram like the image displayed here to illustrate the approximation in part (a). y y 5 y y 5 5 X -4 (c) Use the theorem to evaluate (x2 - 4x) dx. 3
(a) Find an approximation to the integral (x² - 4x) dx using a Riemann sum with right endpoints and n = 8. (Round your answer to four decimal places.) (b) Draw a diagram like the image displayed here to illustrate the approximation in part (a). y y 5 y y 5 5 X -4 (c) Use the theorem to evaluate (x2 - 4x) dx. 3
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![(a) Find an approximation to the integral (x2
- 4x) dx using a Riemann sum with right endpoints and n = 8. (Round your answer to four decimal places.)
3
(b) Draw a diagram like the image displayed here to illustrate the approximation in part (a).
y
y
5
5
X
X
y
y
5
5
X
-4
(c) Use the theorem to evaluate
(x2
- 4x) dx.
3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5b55a0fb-5dff-4587-97c0-c3ec381e9c7e%2F688a6aaa-0675-4cc0-903f-7a4877ccdfd0%2F82vcvhd_processed.png&w=3840&q=75)
Transcribed Image Text:(a) Find an approximation to the integral (x2
- 4x) dx using a Riemann sum with right endpoints and n = 8. (Round your answer to four decimal places.)
3
(b) Draw a diagram like the image displayed here to illustrate the approximation in part (a).
y
y
5
5
X
X
y
y
5
5
X
-4
(c) Use the theorem to evaluate
(x2
- 4x) dx.
3
![(d) Interpret the integral in part (c) as a difference of areas and illustrate with a diagram like the image displayed here.
y
y
5-
5-
X
X
y
y
5
+
+
-4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5b55a0fb-5dff-4587-97c0-c3ec381e9c7e%2F688a6aaa-0675-4cc0-903f-7a4877ccdfd0%2F455jl2_processed.png&w=3840&q=75)
Transcribed Image Text:(d) Interpret the integral in part (c) as a difference of areas and illustrate with a diagram like the image displayed here.
y
y
5-
5-
X
X
y
y
5
+
+
-4
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