Consider the following theorem. Theorem If f is integrable on [a, b], then F(x) dx = lim s fx,)Ax n- 00 la i = 1 b - a where Ax = and x, = a + iAx. n Use the given theorem to evaluate the definite integral. (4x2 + 4x) đx
Consider the following theorem. Theorem If f is integrable on [a, b], then F(x) dx = lim s fx,)Ax n- 00 la i = 1 b - a where Ax = and x, = a + iAx. n Use the given theorem to evaluate the definite integral. (4x2 + 4x) đx
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
9.
f(x) dx = lim
f(x,)Ax
i = 1
b — а
where Ax =
and x, = a + iAx.
Use the given theorem to evaluate the definite integral.
L(4x2 + 4x) dx
-2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd001228d-db5b-4f7d-bdcc-5b8b3535f34a%2Fc7831c56-151b-4ea8-a1bf-b56485143226%2Fsg933ex_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following theorem.
Theorem
If fis integrable on [a, b], then
9.
f(x) dx = lim
f(x,)Ax
i = 1
b — а
where Ax =
and x, = a + iAx.
Use the given theorem to evaluate the definite integral.
L(4x2 + 4x) dx
-2
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