Consider the following theorem. Theorem If f is integrable on [a, b], then n f(x) dx = limf(x)Ax i = 1 ["f(x) dx where Ax n18 b-a n and x₁ = a + iAx. Use the given theorem to evaluate the definite integral. (+² 4x + 4) dx
Consider the following theorem. Theorem If f is integrable on [a, b], then n f(x) dx = limf(x)Ax i = 1 ["f(x) dx where Ax n18 b-a n and x₁ = a + iAx. Use the given theorem to evaluate the definite integral. (+² 4x + 4) 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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Qz5. Please answer this question
![Consider the following theorem.
Theorem
If f is integrable on [a, b], then
[°F(x)
f(x) dx = limf(x;)Ax
n→∞
where Ax =
b-a
n
and X₁
= a + iAx.
Use the given theorem to evaluate the definite integral.
1²(x².
(x² - 4x + 4) dx](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F85bb51a8-92ee-41cc-9a06-62c65f40cedc%2Fdfd8813b-c035-4fa0-bbf2-8a3d0004c2ae%2Fd6cdh2w_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following theorem.
Theorem
If f is integrable on [a, b], then
[°F(x)
f(x) dx = limf(x;)Ax
n→∞
where Ax =
b-a
n
and X₁
= a + iAx.
Use the given theorem to evaluate the definite integral.
1²(x².
(x² - 4x + 4) dx
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