21-25 Use the form of the definition of the integral given in Theorem 4 to evaluate the integral. 21. ₂ (4 – 2x) dx 22. f*(x² - 4x + 2) dx 24. (2x - x³) dx 23. ₂ (x² + x) dx 25. f(x³ - 3x²) dx 4 Theorem If f is integrable on [a, b], then where Ax= = f(x) dx = lim f(x) Ax 1100-1 b - a n n and x₁ = a + i Ax

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question

25

21-25 Use the form of the definition of the integral given in
Theorem 4 to evaluate the integral.
21. ₂ (4 – 2x) dx
22. f*(x² - 4x + 2) dx
24. (2x - x³) dx
23. ₂ (x² + x) dx
25. f(x³ - 3x²) dx
4 Theorem If f is integrable on [a, b], then
where
Ax=
=
f(x) dx = lim f(x) Ax
1100-1
b - a
n
n
and
x₁ = a + i Ax
Transcribed Image Text:21-25 Use the form of the definition of the integral given in Theorem 4 to evaluate the integral. 21. ₂ (4 – 2x) dx 22. f*(x² - 4x + 2) dx 24. (2x - x³) dx 23. ₂ (x² + x) dx 25. f(x³ - 3x²) dx 4 Theorem If f is integrable on [a, b], then where Ax= = f(x) dx = lim f(x) Ax 1100-1 b - a n n and x₁ = a + i Ax
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