Consider the following theorem. If fis integrable on [a, b], then "fx) dx = !lim f(x,)ax, where Ax = b - a and x, - a + i Ax. Use the given theorem to evaluate the integral. (24 - 6x) dx
Consider the following theorem. If fis integrable on [a, b], then "fx) dx = !lim f(x,)ax, where Ax = b - a and x, - a + i Ax. Use the given theorem to evaluate the integral. (24 - 6x) dx
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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![Consider the following theorem.
Theorem
If fis integrable on [a, b], then
fx) dx - lim fx)ax
(x,)Ax
n- 00
i = 1
where Ax = .
b-a
and x, = a + iAx.
in
Use the given theorem to evaluate the definite integral.
4x + 7) dx](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F98fc343b-cb52-4584-9892-0f7651919137%2F1bc6518e-8606-4d58-9f8e-cd6dc8e26028%2Fo2jldj9_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following theorem.
Theorem
If fis integrable on [a, b], then
fx) dx - lim fx)ax
(x,)Ax
n- 00
i = 1
where Ax = .
b-a
and x, = a + iAx.
in
Use the given theorem to evaluate the definite integral.
4x + 7) dx
![Consider the following theorem.
If fis integrable on [a, b], then f(x) dx = lim fx,)Ax, where Ax =
b - a
and x, = a + i Ax.
n
i = 1
Use the given theorem to evaluate the integral.
(24 - 6x) dx](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F98fc343b-cb52-4584-9892-0f7651919137%2F1bc6518e-8606-4d58-9f8e-cd6dc8e26028%2F69oincq_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following theorem.
If fis integrable on [a, b], then f(x) dx = lim fx,)Ax, where Ax =
b - a
and x, = a + i Ax.
n
i = 1
Use the given theorem to evaluate the integral.
(24 - 6x) dx
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