21-25 Use the form of the definition of the integral given in Theorem 4 to evaluate the integral. 21. 5 (4 – 2x) dx 23. ₂ (x² + x) dx 25. f'(x³ - 3x²) dx 4 Theorem If f is integrable on [a, b], then where f%f(x) dx = lim Σ f(x) Δx Ax= 22. f*(x² - 4x + 2) dx 24. f (2x − x³) dx b-a n and x₁ = a + i Ax
21-25 Use the form of the definition of the integral given in Theorem 4 to evaluate the integral. 21. 5 (4 – 2x) dx 23. ₂ (x² + x) dx 25. f'(x³ - 3x²) dx 4 Theorem If f is integrable on [a, b], then where f%f(x) dx = lim Σ f(x) Δx Ax= 22. f*(x² - 4x + 2) dx 24. f (2x − x³) dx b-a n and x₁ = a + i Ax
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
q21 TO 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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F67dbf66f-1582-4091-9eef-bfdc832279f4%2F10f64d4f-962e-4658-b280-7367651379b1%2Fhpvbhxl_processed.png&w=3840&q=75)
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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