n-1 b. It is a fact (proved by the 17th-century mathematicians Fermat and Pascal) that lim Use this fact to evaluate I(p). n-00 k=0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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help please part b only 

Consider the integral I(p) = | xP dx where p is a positive integer.
a. Write the left Riemann sum for the integral with n subintervals.
n-1
1
b. It is a fact (proved by the 17th-century mathematicians Fermat and Pascal) that lim
1
Use this fact to evaluate I(p).
p+1
k = 0
a. Choose the correct Riemann sum representation.
n-1
A. (p) = lim > -"
n-1
1
n→0 k=0
B. (p) = lim
Σ
n-1
1
k)p
k= 0
ΣΗ
Oc. (p) =- E
1
n-1
n
k= 0
D. I(p) = lim
Σ
kp
n
k = 0
1 n-1
k)P
1
Σ
b. Use the fact lim
to evaluate I(p).
%3D
n
k= 0
p + 1
I(p) =
Transcribed Image Text:Consider the integral I(p) = | xP dx where p is a positive integer. a. Write the left Riemann sum for the integral with n subintervals. n-1 1 b. It is a fact (proved by the 17th-century mathematicians Fermat and Pascal) that lim 1 Use this fact to evaluate I(p). p+1 k = 0 a. Choose the correct Riemann sum representation. n-1 A. (p) = lim > -" n-1 1 n→0 k=0 B. (p) = lim Σ n-1 1 k)p k= 0 ΣΗ Oc. (p) =- E 1 n-1 n k= 0 D. I(p) = lim Σ kp n k = 0 1 n-1 k)P 1 Σ b. Use the fact lim to evaluate I(p). %3D n k= 0 p + 1 I(p) =
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