* 14.0 Evaluate the definite integral V1+7x dx by making an appropriate substi- tution. Show all details of the substitution process. (Enter your answer in Canvas.)
* 14.0 Evaluate the definite integral V1+7x dx by making an appropriate substi- tution. Show all details of the substitution process. (Enter your answer in Canvas.)
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...
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Please answer Question #14 in the picture
Transcribed Image Text:*14.
Evaluate the definite integral 1+7x dx by making an appropriate substi-
tution. Show all details of the substitution process. (Enter your answer in Canvas.)
Extra Credit: (This problem is optional, but up to 5 points may be awarded to compensate for any
points lost on the previous problems.)
Use a Riemann Sum with n equal subintervals and the right endpoint rule to obtain an approximation
R for the integral
3x +1 dr. Then take the limit of Rn as n 0o to obtain the value of the integral.
You may use any of the following summation formulas:
n
n(n+1)
Σε
n(n + 1)(2n + 1)
n(n+
i=1
i=1
i=1
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