ln (4/3) et dt 36.50 (1 + e²¹)3/2 (3/4) algmax)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 71E
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Question
In Exercises 35-48, use an appropriate substitution and then a
metric substitution to evaluate the integrals.
In (4/3)
36. 39 7
In (3/4)
35.
1.
37.
39.
41.
43.
45.
cln 4
S
0
47.
1/4
1/12
J
S=
et dt
Ve²t +9
dx
xVx²-1
/
2 dt
Vt + 4tVt
x dx
√²-1
x dx
V1 + x4
Followi
N√
X
Blay (Hint: Let x = u².)
14- X
[√x
√x V1
dx
38.
·x dx
40.
42.
e
S =
46.
the rath
48.
dx
114
dy
yV1 + (n y)²
1 + x²
Sv
44.
the same procedur
procedure as in
et dt
(1 + e²¹)3/2 AUD
nie E
dx
V1-x²
V1 (In x)²
-
S
-
nyp x ln x
SV
X
1
* 200
x³
(Hint: Let u = x³/2.)
√x - 2
√x - 1
dx
trigono-
dx
-dx function i
we fin
Transcribed Image Text:In Exercises 35-48, use an appropriate substitution and then a metric substitution to evaluate the integrals. In (4/3) 36. 39 7 In (3/4) 35. 1. 37. 39. 41. 43. 45. cln 4 S 0 47. 1/4 1/12 J S= et dt Ve²t +9 dx xVx²-1 / 2 dt Vt + 4tVt x dx √²-1 x dx V1 + x4 Followi N√ X Blay (Hint: Let x = u².) 14- X [√x √x V1 dx 38. ·x dx 40. 42. e S = 46. the rath 48. dx 114 dy yV1 + (n y)² 1 + x² Sv 44. the same procedur procedure as in et dt (1 + e²¹)3/2 AUD nie E dx V1-x² V1 (In x)² - S - nyp x ln x SV X 1 * 200 x³ (Hint: Let u = x³/2.) √x - 2 √x - 1 dx trigono- dx -dx function i we fin
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