A student using the definition of the definite integral has begun to make a computation. Finish it. n 216 x² dx = lim lim %3D n-00 n3 n-00 k=1 k=1 216 n(n + 1)(2n + 1) lim n3 216 k2 lim n→00 n3 %3D n-00 6 k=1

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question

Hi there, please help me with answering this question. Please answer all parts clearly and with steps to solve.  Lastly, please answer with legible handwritting. This is a must as sometimes I cannot read the answer and I won't get the question refunded to me. Thank you very much! (:

12. A student using the definition of the definite integral has begun to make a computation. Finish it.
п
п
216
k2
n3
x² dx
lim
lim
k=1
k=1
n
216
lim
n3
Σκ
216 n(n + 1)(2n + 1)
lim
n3
n-00
6.
k=1
II
Transcribed Image Text:12. A student using the definition of the definite integral has begun to make a computation. Finish it. п п 216 k2 n3 x² dx lim lim k=1 k=1 n 216 lim n3 Σκ 216 n(n + 1)(2n + 1) lim n3 n-00 6. k=1 II
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning