Consider the following integral: This may be evaluated by using integration by parts. -) The product 6z cos(z) must be written in the form u du Determine u, and u -) Apply the integration by parts formula: ) Hence write down the indefinite integral: U= V= fudr = fu#dz = 6x cos(z) dr uv Hete [6x cos(z) dz (Don't forget the constant of integration as this is an indefinite integral.) dz dz
Consider the following integral: This may be evaluated by using integration by parts. -) The product 6z cos(z) must be written in the form u du Determine u, and u -) Apply the integration by parts formula: ) Hence write down the indefinite integral: U= V= fudr = fu#dz = 6x cos(z) dr uv Hete [6x cos(z) dz (Don't forget the constant of integration as this is an indefinite integral.) dz dz
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.6: Derivatives Of Trigonometric Functions
Problem 6YT
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Question
![Consider the following integral:
This may be evaluated by using integration by parts.
a)
The product 6x cos(z) must be written in the form u
Determine u,and u:
b)
Apply the integration by parts formula:
Hence write down the indefinite integral:
U=
V=
[62 cos(z) dz
fudz = Uv
fudr =
士는
(Don't forget the constant of integration as this is an indefinite integral.)
-S
6x cos(r) dr
dr
dz](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F40691494-888b-4a7b-8bd4-14b23ab3af57%2F29955376-2952-4164-9ec3-427ded560f1e%2Fg38wfud_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the following integral:
This may be evaluated by using integration by parts.
a)
The product 6x cos(z) must be written in the form u
Determine u,and u:
b)
Apply the integration by parts formula:
Hence write down the indefinite integral:
U=
V=
[62 cos(z) dz
fudz = Uv
fudr =
士는
(Don't forget the constant of integration as this is an indefinite integral.)
-S
6x cos(r) dr
dr
dz
![d)
Evaluate the definite integral:
[' 6
6x cos(x) dx](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F40691494-888b-4a7b-8bd4-14b23ab3af57%2F29955376-2952-4164-9ec3-427ded560f1e%2Ftgqmn02_processed.jpeg&w=3840&q=75)
Transcribed Image Text:d)
Evaluate the definite integral:
[' 6
6x cos(x) dx
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