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Consider the integral Step 1. Notice that the function you're trying to integrate contains a composition of functions f(u(z)) What's the "inside function", u(z), in this case? Oa u(z) = vE O b. u(z) – 2z Oc There function we're trying to integrate does not contain a composition of functions. Od. u(z) – 4+z Step 2. Make the change of variables u = u(z) (where u(z) is the function you selected in question 1) and rewrite the indefinite integral as an indefinite integral in the independent variable u (your new indefinite integral should no longer contain z or dz). Select the resulting integral from the options below. Ob. Step 3. Calculate the new indefinite integral from Step 2 (your answer to question 2). Then select the result from the options below. 1a 22 +C Ob. (4+ u²)ª/a +C oa 블+C Step 4. Undo the change of variables u = u(z) in your answer to question 3 to calculate Then select your answer from the options below.

Consider the integral Step 1. Notice that the function you're trying to integrate contains a composition of functions f(u(z)) What's the "inside function", u(z), in this case? Oa u(z) = vE O b. u(z) – 2z Oc There function we're trying to integrate does not contain a composition of functions. Od. u(z) – 4+z Step 2. Make the change of variables u = u(z) (where u(z) is the function you selected in question 1) and rewrite the indefinite integral as an indefinite integral in the independent variable u (your new indefinite integral should no longer contain z or dz). Select the resulting integral from the options below. Ob. Step 3. Calculate the new indefinite integral from Step 2 (your answer to question 2). Then select the result from the options below. 1a 22 +C Ob. (4+ u²)ª/a +C oa 블+C Step 4. Undo the change of variables u = u(z) in your answer to question 3 to calculate Then select your answer from the options below.

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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These 4 steps: 1) Consider the integral 2) Make changes of variables u=(x) 3) Calculate the new indefinite integral from step 2 4) undo the changes of variables u= u(x)
Consider the integral Step 1. Notice that the function you're trying to integrate contains a composition of functions f(u()). What's the "inside function", u(z), in this case? O a u(z) = VE O b. u(z) = 2r O c There function we're trying to integrate does not contain a composition of functions. O d. u(z) =4+2² Step 2. Make the change of variables u u(z) (where u(x) is the function you selected in question 1) and rewrite the indefinite integral as an indefinite integral in the independent variable u (your new indefinite integral should no longer contain z or dz). Select the resulting integral from the options below. Oa. O b. 4+u du O d. Step 3. Calculate the new indefinite integral from Step 2 (your answer to question 2). Then select the result from the options below. O a. žu2 +C O b. (4+u²)®/2 +C O d. u2 + C Step 4. Undo the change of variables u= u(z) in your answer to question 3 to calculate Then select your answer from the options below. a (4+ zª)/2 +C 이b 근(4+ +2) C
Transcribed Image Text:Consider the integral Step 1. Notice that the function you're trying to integrate contains a composition of functions f(u()). What's the "inside function", u(z), in this case? O a u(z) = VE O b. u(z) = 2r O c There function we're trying to integrate does not contain a composition of functions. O d. u(z) =4+2² Step 2. Make the change of variables u u(z) (where u(x) is the function you selected in question 1) and rewrite the indefinite integral as an indefinite integral in the independent variable u (your new indefinite integral should no longer contain z or dz). Select the resulting integral from the options below. Oa. O b. 4+u du O d. Step 3. Calculate the new indefinite integral from Step 2 (your answer to question 2). Then select the result from the options below. O a. žu2 +C O b. (4+u²)®/2 +C O d. u2 + C Step 4. Undo the change of variables u= u(z) in your answer to question 3 to calculate Then select your answer from the options below. a (4+ zª)/2 +C 이b 근(4+ +2) C
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