9-12 Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to four decimal places. 9. f sin √x dx, n = 4 2 11. S² X Jo x + 1 dx, n = 5 10. f₁' √√x³ + 1 dx, n=5 12. fx sin²x dx, n = 4
9-12 Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to four decimal places. 9. f sin √x dx, n = 4 2 11. S² X Jo x + 1 dx, n = 5 10. f₁' √√x³ + 1 dx, n=5 12. fx sin²x dx, n = 4
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
12,17 to 20
![3. 9-12 Use the Midpoint Rule with the given value of n to
approximate the integral. Round the answer to four decimal
places.
9. fsin√xdx, n = 4
11.
2
X
Jo x + 1
17. lim
n→∞
17-20 Express the limit as a definite integral on the given
interval.
n sin Xi
1 + Xi
n
20. lim
n→∞
n
dx, n = 5
18. lim Σx;√√1 + x²³ Ax, [2,5]
n→∞ i=1
i=1
n
Δ.x, [0, π]
19. lim [5(x)³ - 4x*] Ax, [2,7]
n→∞
i=1
1
10. f¹ √√x³ + 1 dx, n = 5
12. fx sin²x dx,
x*
(x*)² + 4
n = = 4
Ax, [1,3]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F67dbf66f-1582-4091-9eef-bfdc832279f4%2F5af134f7-09c3-472c-853e-14a89aa7009b%2Fwlejbmd_processed.png&w=3840&q=75)
Transcribed Image Text:3. 9-12 Use the Midpoint Rule with the given value of n to
approximate the integral. Round the answer to four decimal
places.
9. fsin√xdx, n = 4
11.
2
X
Jo x + 1
17. lim
n→∞
17-20 Express the limit as a definite integral on the given
interval.
n sin Xi
1 + Xi
n
20. lim
n→∞
n
dx, n = 5
18. lim Σx;√√1 + x²³ Ax, [2,5]
n→∞ i=1
i=1
n
Δ.x, [0, π]
19. lim [5(x)³ - 4x*] Ax, [2,7]
n→∞
i=1
1
10. f¹ √√x³ + 1 dx, n = 5
12. fx sin²x dx,
x*
(x*)² + 4
n = = 4
Ax, [1,3]
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