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
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Chapter2: Second-order Linear Odes
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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
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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