U Substitution (a) State the Substitution Rule. Explain its connection to the Chain Rul- (b) Evaluate the indefinite integrals by using the suggested substitutions i. ii. iii. S 6x cos(x²) dx, sin(6x) cos(6x) -dx, u = x² u = cos(6x) [²√³ u = x5 + 11 X x5 + 11dx,
U Substitution (a) State the Substitution Rule. Explain its connection to the Chain Rul- (b) Evaluate the indefinite integrals by using the suggested substitutions i. ii. iii. S 6x cos(x²) dx, sin(6x) cos(6x) -dx, u = x² u = cos(6x) [²√³ u = x5 + 11 X x5 + 11dx,
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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Solve a) i.Evaluate using u substitution.
![2. U Substitution
(a) State the Substitution Rule. Explain its connection to the Chain Rule.
(b) Evaluate the indefinite integrals by using the suggested substitutions.
i.
ii.
iii.
[61
1
6x cos(x²) dx,
sin (6x)
cos(6x)
J
dx,
U = x²
fa
[x²√x³
u = x5 + 11
X
(c) Evaluate the indefinite integrals by selection an appropriate substitu
definito integralsh
x5 + 11dx,
u = cos(6x)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9372b6fe-9d83-4cc3-b9b6-3000d02c5781%2Fafb8ecc5-b553-4486-afb1-a4dfbb5cc92f%2Frsqrqor_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. U Substitution
(a) State the Substitution Rule. Explain its connection to the Chain Rule.
(b) Evaluate the indefinite integrals by using the suggested substitutions.
i.
ii.
iii.
[61
1
6x cos(x²) dx,
sin (6x)
cos(6x)
J
dx,
U = x²
fa
[x²√x³
u = x5 + 11
X
(c) Evaluate the indefinite integrals by selection an appropriate substitu
definito integralsh
x5 + 11dx,
u = cos(6x)
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