In Exercises 35–48, use an appropriate substitution and then a trigono- metric substitution to evaluate the integrals. cIn 4 cIn (4/3) e' dt e' dt Ve?t + 9 35. 36. In (3/4) (1 + e2) 3/2 •1/4 2 dt dy Jur Vi + 4tVi 38. 37. i yV1 + (In y)² 1/12 dx dx 39. 40. 1 + x? xVx? х dx Vx² dx 42. 41. Vi – x² V1 – (In x)² -dx х dx 43. 44. x In x V1 + x* х dx 45. 46. dx. х (Hint: Let u = x3/2.) (Hint: Let x = u².) Vx – 2 dx /VivT [Vavi-ide - x dx 47. 48. Vx – 1
In Exercises 35–48, use an appropriate substitution and then a trigono- metric substitution to evaluate the integrals. cIn 4 cIn (4/3) e' dt e' dt Ve?t + 9 35. 36. In (3/4) (1 + e2) 3/2 •1/4 2 dt dy Jur Vi + 4tVi 38. 37. i yV1 + (In y)² 1/12 dx dx 39. 40. 1 + x? xVx? х dx Vx² dx 42. 41. Vi – x² V1 – (In x)² -dx х dx 43. 44. x In x V1 + x* х dx 45. 46. dx. х (Hint: Let u = x3/2.) (Hint: Let x = u².) Vx – 2 dx /VivT [Vavi-ide - x dx 47. 48. Vx – 1
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 71E
Related questions
Question
![In Exercises 35–48, use an appropriate substitution and then a trigono-
metric substitution to evaluate the integrals.
cIn 4
cIn (4/3)
e' dt
e' dt
Ve?t + 9
35.
36.
In (3/4) (1 + e2) 3/2
•1/4
2 dt
dy
Jur Vi + 4tVi
38.
37.
i yV1 + (In y)²
1/12
dx
dx
39.
40.
1 + x?
xVx?
х dx
Vx²
dx
42.
41.
Vi – x²
V1 – (In x)²
-dx
х dx
43.
44.
x In x
V1 + x*
х
dx
45.
46.
dx.
х
(Hint: Let u = x3/2.)
(Hint: Let x = u².)
Vx – 2
dx
/VivT
[Vavi-ide
- x dx
47.
48.
Vx – 1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8c33210d-3826-4f4d-8efa-5b6c0ac0f27b%2F3f756ef1-60a7-435d-a021-d640adf3c6f6%2Frfxuvf5.png&w=3840&q=75)
Transcribed Image Text:In Exercises 35–48, use an appropriate substitution and then a trigono-
metric substitution to evaluate the integrals.
cIn 4
cIn (4/3)
e' dt
e' dt
Ve?t + 9
35.
36.
In (3/4) (1 + e2) 3/2
•1/4
2 dt
dy
Jur Vi + 4tVi
38.
37.
i yV1 + (In y)²
1/12
dx
dx
39.
40.
1 + x?
xVx?
х dx
Vx²
dx
42.
41.
Vi – x²
V1 – (In x)²
-dx
х dx
43.
44.
x In x
V1 + x*
х
dx
45.
46.
dx.
х
(Hint: Let u = x3/2.)
(Hint: Let x = u².)
Vx – 2
dx
/VivT
[Vavi-ide
- x dx
47.
48.
Vx – 1
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