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
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Chapter2: Second-order Linear Odes
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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
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
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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