g(b) Use the Substitution Formula, f(g(x)) •g'(x) dx = f(g(x))• g'(x) dx = S f(u) du where g(x) = u, to evaluate the following integrals. g(a) a. 1 √²³ (1+14) ³ 0 dt b 1 jen. [² (1+14) ³ dt = 0 a b. 1 fe(1+0) ³ (Simplify your answer.) 1 1 • JPG-0² [r³ (1+1¹) ³ dt = (Simplify your answer) b. 1

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
g(b)
Use the Substitution Formula, fr(g(x) •g'(x) ax=
f(u) du where g(x) = u, to evaluate the following integrals
g(a)
a.
1.
1
a.
1³ (1 +14) ³ dt
GI
3
[₁²³ (1 +1¹) ³ dt =
0
b.
1
b.
je(₁) a
[ 1³ (1 +1¹) ³
- 1
1
S²³²
-1
dt = (Simplify your answer.)
dt = [ (Simplify your answer)
³ (1 + t^¹) ³ at
GOD
Transcribed Image Text:g(b) Use the Substitution Formula, fr(g(x) •g'(x) ax= f(u) du where g(x) = u, to evaluate the following integrals g(a) a. 1. 1 a. 1³ (1 +14) ³ dt GI 3 [₁²³ (1 +1¹) ³ dt = 0 b. 1 b. je(₁) a [ 1³ (1 +1¹) ³ - 1 1 S²³² -1 dt = (Simplify your answer.) dt = [ (Simplify your answer) ³ (1 + t^¹) ³ at GOD
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