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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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(x'+5) dx
2
c) [ V3x -ldx
a) [x (4x² -3)° dx
4) Find each integral by substitution:
x'+5
xp-
2
3x +5
とf (a
9 + zx
xp-
xp=
3.
a) [3x²(x³ +5)" dx
3) Find each integral by substitution:
xp9 + „x^;x+[ (ɔ
(2+9x)dx
6.
d) [3x²e* dx
x6+219
xp-
6.
25+ 9x?
1.
V100–x²
xp-
|
3- 2x-x2
1.
xp=
x' +8x + 25
2
|
xp-
2x + 5
|
V16-x²
6+ x-,x
2
2) Evaluate each integral by using inverse trigonometric functions:
1.
хр
xp-
x + 2x - 4
2.
xp
xPI – xt^ [(p
-
xp
c)J ?+6x +1)
x + 3
xp-
2.
xp-
sin(ln x)
sec-
xP6+ z*^x](9
a)[(x+1)(x² + 2x)³ dx
(7x² + 2)
1) Evaluate each integral by substitution:
xp
хрх
3.
xVIn x
хр
хр
xp
Transcribed Image Text:(x'+5) dx 2 c) [ V3x -ldx a) [x (4x² -3)° dx 4) Find each integral by substitution: x'+5 xp- 2 3x +5 とf (a 9 + zx xp- xp= 3. a) [3x²(x³ +5)" dx 3) Find each integral by substitution: xp9 + „x^;x+[ (ɔ (2+9x)dx 6. d) [3x²e* dx x6+219 xp- 6. 25+ 9x? 1. V100–x² xp- | 3- 2x-x2 1. xp= x' +8x + 25 2 | xp- 2x + 5 | V16-x² 6+ x-,x 2 2) Evaluate each integral by using inverse trigonometric functions: 1. хр xp- x + 2x - 4 2. xp xPI – xt^ [(p - xp c)J ?+6x +1) x + 3 xp- 2. xp- sin(ln x) sec- xP6+ z*^x](9 a)[(x+1)(x² + 2x)³ dx (7x² + 2) 1) Evaluate each integral by substitution: xp хрх 3. xVIn x хр хр xp
xpx +I^ ;x [(p
xP[ – xz^x [(ɔ
2 /1+ xdx
-
e* Ve* +4dx
I+ „ə
(In x)²
5) Evaluate each integral by the substitution method:
f)e*in* cos.xdx
xp-
e
xp-
X UIS
x(ln x)²
xp
Transcribed Image Text:xpx +I^ ;x [(p xP[ – xz^x [(ɔ 2 /1+ xdx - e* Ve* +4dx I+ „ə (In x)² 5) Evaluate each integral by the substitution method: f)e*in* cos.xdx xp- e xp- X UIS x(ln x)² xp
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