(x)M + (b) 43. x + 2x + 2

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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I need help solving #43

Furt
41. Explain why or why not Determine whether the following state-
ments are true and give an explanation or counterexample.
b. Show that
substitutic
1.
3
3
dx +
dx.
с. Prove the
а.
dx =
x²
+ 4
pl.as ai Is(Source;
(Nov 200
iigila ylroAT
b. Long division simplifies the evaluation of the integral
3
+ 2
dx.
3x* + x
o o oldiaeoqmi (
anottomut lo zubong n
dx = In sin x + 1 + C
Applications
59. Area of ar
1
с.
I sin x + 1
bounded by
dx = In e* + C
bbalol ahsinterval [2
d.
et
42-54. Miscellaneous integrals Use the approaches discussed in this
section to evaluate the following integrals.
60. Area of a
by pa
region bou
alsta
dx
42.
43.
61. Volumes
1 Vx
x² + 2x + 2
-
of f(x) =
4
-1
a. Find t
V1 + Vx dx ( (45.
LEGO
44.
sin x sin 2x dx
the x-
b. Find
TT/2
dx
the y-
46.
V1 + cos 2x dx
47.
x1/2 + x3/2
62. Volume
b ()
1
dx
x - 2
49.
dx
+6x +13
f(x)
48.
2.
4 – Vx
-
What is the b
ini ot
dx
2x +2e* + 1
uea. Find
b the.
b. Find
TT/4
et
50.
3V1 + sin 2x dx 51.
7/8
3.
VAI 2
the
TT
52.
V1 - cos 4x dx
53.
dx
x + 2x + 1
2
2
54.
dx
o x³ + 3x² + 3x + 1
Transcribed Image Text:Furt 41. Explain why or why not Determine whether the following state- ments are true and give an explanation or counterexample. b. Show that substitutic 1. 3 3 dx + dx. с. Prove the а. dx = x² + 4 pl.as ai Is(Source; (Nov 200 iigila ylroAT b. Long division simplifies the evaluation of the integral 3 + 2 dx. 3x* + x o o oldiaeoqmi ( anottomut lo zubong n dx = In sin x + 1 + C Applications 59. Area of ar 1 с. I sin x + 1 bounded by dx = In e* + C bbalol ahsinterval [2 d. et 42-54. Miscellaneous integrals Use the approaches discussed in this section to evaluate the following integrals. 60. Area of a by pa region bou alsta dx 42. 43. 61. Volumes 1 Vx x² + 2x + 2 - of f(x) = 4 -1 a. Find t V1 + Vx dx ( (45. LEGO 44. sin x sin 2x dx the x- b. Find TT/2 dx the y- 46. V1 + cos 2x dx 47. x1/2 + x3/2 62. Volume b () 1 dx x - 2 49. dx +6x +13 f(x) 48. 2. 4 – Vx - What is the b ini ot dx 2x +2e* + 1 uea. Find b the. b. Find TT/4 et 50. 3V1 + sin 2x dx 51. 7/8 3. VAI 2 the TT 52. V1 - cos 4x dx 53. dx x + 2x + 1 2 2 54. dx o x³ + 3x² + 3x + 1
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