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once using the Simple Power Rule and once using the General Power Rule. (Use C for the constant of integration.) (b) Explain the difference in the results.   (c) Which method do you prefer? Explain your reasoning.

once using the Simple Power Rule and once using the General Power Rule. (Use C for the constant of integration.) (b) Explain the difference in the results.   (c) Which method do you prefer? Explain your reasoning.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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(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.)

(b) Explain the difference in the results.
 
(c) Which method do you prefer? Explain your reasoning.
Consider the following. (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 and C - 9 are different, the two answers represent different families of functions. O Because C represents any constant, C - 9 can be written as C. The two answers represent different families of functions. O Because C and C - 9 are different, the two answers represent the same family of functions. O Because C represents any constant, C- 9 can be written as C. The two answers represent the same family of functions. (c) Which method do you prefer? Explain your reasoning.
Transcribed Image Text:Consider the following. (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 and C - 9 are different, the two answers represent different families of functions. O Because C represents any constant, C - 9 can be written as C. The two answers represent different families of functions. O Because C and C - 9 are different, the two answers represent the same family of functions. O Because C represents any constant, C- 9 can be written as C. The two answers represent the same family of functions. (c) Which method do you prefer? Explain your reasoning.
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