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

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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Question

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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

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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