Consider the following. l (a) Perform the integration in two ways: once using the Simple Power Rule and once using the General Power Rule. (Use C for the constant of integration.) Simple Power Rule (8 - x)² dx General Power Rule (b) Explain the difference in the results. O Because C represents any constant, C-512/3 can be written as C. The two answers represent different families of functions. O Because C represents any constant, C - 512/3 can be written as C. The two answers represent the same family of functions. O Because C and C - 512/3 are different, the two answers represent the same family of functions. O Because C and C - 512/3 are different, the two answers represent different families of functions.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 6T
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Consider the following.
(8 - x)² dx
(a) Perform the integration in two ways: once using the Simple Power Rule and once using the General Power Rule. (Use C for the constant of integration.)
Simple Power Rule
General Power Rule
(b) Explain the difference in the results.
O Because C represents any constant, C-512/3 can be written as C. The two answers represent different families of functions.
O Because C represents any constant, C-512/3 can be written as C. The two answers represent the same family of functions.
O Because C and C - 512/3 are different, the two answers represent the same family of functions.
O Because C and C - 512/3 are different, the two answers represent different families of functions.
(c) Which method do you prefer? Explain your reasoning.
Transcribed Image Text:Consider the following. (8 - x)² dx (a) Perform the integration in two ways: once using the Simple Power Rule and once using the General Power Rule. (Use C for the constant of integration.) Simple Power Rule General Power Rule (b) Explain the difference in the results. O Because C represents any constant, C-512/3 can be written as C. The two answers represent different families of functions. O Because C represents any constant, C-512/3 can be written as C. The two answers represent the same family of functions. O Because C and C - 512/3 are different, the two answers represent the same family of functions. O Because C and C - 512/3 are different, the two answers represent different families of functions. (c) Which method do you prefer? Explain your reasoning.
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