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:/ √64x2-49 x3 (A) Which trig substitution is correct for this integral? Evaluate the integral: da

:/ √64x2-49 x3 (A) Which trig substitution is correct for this integral? Evaluate the integral: da

Calculus: Early Transcendentals
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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Evaluate the integral: 0x = Ox= (A) Which trig substitution is correct for this integral? 8 Ox= sec(0) 7 1 64 7 8 sec (0) Ox= -sec(0) 7 ○x = sin(0) s 49 64 Sec(0) √64x2-49 x3 -dx (B) Which integral do you obtain after substituting for x? Note: to enter 0, type the word theta. de (C) What is the value of the above integral in terms of 0? + C (D) What is the value of the original integral in terms of x? Note: WAMAP does not recognize the inverse secant (arcsec) function. You will need to use another inverse trig function when you fill in your answer below. + C
Transcribed Image Text:Evaluate the integral: 0x = Ox= (A) Which trig substitution is correct for this integral? 8 Ox= sec(0) 7 1 64 7 8 sec (0) Ox= -sec(0) 7 ○x = sin(0) s 49 64 Sec(0) √64x2-49 x3 -dx (B) Which integral do you obtain after substituting for x? Note: to enter 0, type the word theta. de (C) What is the value of the above integral in terms of 0? + C (D) What is the value of the original integral in terms of x? Note: WAMAP does not recognize the inverse secant (arcsec) function. You will need to use another inverse trig function when you fill in your answer below. + C
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Step 1: Here we find the correct trig substitution.

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