iii. [ 2² √₂³ +11de, x5 u = x³ +11 bstitu

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) iii. Use 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.
99
i. f 2x(x² +1)⁹9 dr
11
r
15/1 3
[63
s
Ja
2dr
6x cos(x²) dx,
sin(6x)
cos(6x)
4
dx,
X √x5 + 11dx,
(c) Evaluate the indefinite integrals by selection an appropriate substitu
change the bounds for definite integrals!
u = x²
di
u = cos(6x)
u = x³ +11
iii.
(t+1)5 dt
iv. 4 (1+4/2)² dx
x2
Transcribed Image Text:(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. 99 i. f 2x(x² +1)⁹9 dr 11 r 15/1 3 [63 s Ja 2dr 6x cos(x²) dx, sin(6x) cos(6x) 4 dx, X √x5 + 11dx, (c) Evaluate the indefinite integrals by selection an appropriate substitu change the bounds for definite integrals! u = x² di u = cos(6x) u = x³ +11 iii. (t+1)5 dt iv. 4 (1+4/2)² dx x2
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