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2) a) Calculate the integral 9-x dx by using the 2 poner rule for antiderivatives: b) calculate the integral 9-xdx again but via trig sub: X= 3Sin o sin 6 a': x a': 3'- a- n-x dx 3sine de 59-(3sine) 30sods 53(9-9sin's) oseds 1(9(1-sin'o) cosedo are sinx - 0 dr: 3056do Cose- 1-x c) Verify your answers match U= Sine 27 (1- sins) cosede du= oS6 de 92-x +C = 9x-X +C 3 27 Coso- Cosesineds 3 2 27 Co- Cose u du Cosde 27/1-u' du 27 (sine sin's 27 3. 9x- 27x 3 3. 27Y 27x 27 X 3 3 27 3 9x-X 3.

2) a) Calculate the integral 9-x dx by using the 2 poner rule for antiderivatives: b) calculate the integral 9-xdx again but via trig sub: X= 3Sin o sin 6 a': x a': 3'- a- n-x dx 3sine de 59-(3sine) 30sods 53(9-9sin's) oseds 1(9(1-sin'o) cosedo are sinx - 0 dr: 3056do Cose- 1-x c) Verify your answers match U= Sine 27 (1- sins) cosede du= oS6 de 92-x +C = 9x-X +C 3 27 Coso- Cosesineds 3 2 27 Co- Cose u du Cosde 27/1-u' du 27 (sine sin's 27 3. 9x- 27x 3 3. 27Y 27x 27 X 3 3 27 3 9x-X 3.

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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I was hoping someone could double check my work to make sure I did the problem correctly? Thank you!
2) a) Calculate the integrel 19-ni dy by using the poner rule for antiderivatives: +C b) calculate the integral 9-xdx again but via trig sub: X= 3 sin o X- Sin & a': 3 a= 9-x" dx 3 sine de 59-(3sine) 30osods 53(9-95in's)cosede 1(9(1-sin'e) cosede dr= 3056do C) Verify your answers match U= Sino 27 (1- sins) cosede 27 cos6- cosesinede du = oS6 de 92-x +C = 9x-X +C 3 27 Cose u Cosede 27/1-4' du 27 27(sing - sin's 9x-27x 8 1 277 27x 27 3. 27 3. 3. 3 9x-X 3
Transcribed Image Text:2) a) Calculate the integrel 19-ni dy by using the poner rule for antiderivatives: +C b) calculate the integral 9-xdx again but via trig sub: X= 3 sin o X- Sin & a': 3 a= 9-x" dx 3 sine de 59-(3sine) 30osods 53(9-95in's)cosede 1(9(1-sin'e) cosede dr= 3056do C) Verify your answers match U= Sino 27 (1- sins) cosede 27 cos6- cosesinede du = oS6 de 92-x +C = 9x-X +C 3 27 Cose u Cosede 27/1-4' du 27 27(sing - sin's 9x-27x 8 1 277 27x 27 3. 27 3. 3. 3 9x-X 3
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