3. Guidelines for Integration alter an integrand so that it fits an integration form se 4. Trigonometric Functions Integrating which trigonometric function results in In|sin x + C? 41. Differe solutio Finding an Indefinite Integral In Exercises 5-28, find the indefinite integral. to gra given p dy dx 5. 6. 43. dx dy 1 dx 2x + 5 dx 5- 4x 45. dx 7. dx 5-x3 dx 10. 9. x² - 3 Findi 2x dx x³ - 3x² x2 find t 4x3 + 3 11. dx 12. x4 +3x satisfi x² - 7 dx 7x x3 14. |*ी - 8x dx x² 13. 47. f x2 + 4x x² + 2x + 3 dx x3 + 3x2 + 9x 48. f dx x³ + 6x2 + 5 15. 16. x² 17. 3x + 2 dx 2x² + 7x – 3 dx A Slop 18. x + 1 x3 - 3x2 + 5 19. +3 x + 5 a poi solut 6x - 20 dx dx 20. x - 3 whic x4 + x - 4 -p- x2 + 2 4x2 - 4x + 20 dx copy and 21. 22. x² - 5 (In x)² 23. dx diffe dx 24. x(ln x²)³ solu 25. 1 1 pass dx Vi(1 – 3 E) 26. x2/3(1 + x'/3) ° dx бх 49. 27. (x- 5)2 d. dx x(х - 2) 28. dx (x-1)3 Change of Variables In Exercises 29-32, find the indefinite integral by making 8.
3. Guidelines for Integration alter an integrand so that it fits an integration form se 4. Trigonometric Functions Integrating which trigonometric function results in In|sin x + C? 41. Differe solutio Finding an Indefinite Integral In Exercises 5-28, find the indefinite integral. to gra given p dy dx 5. 6. 43. dx dy 1 dx 2x + 5 dx 5- 4x 45. dx 7. dx 5-x3 dx 10. 9. x² - 3 Findi 2x dx x³ - 3x² x2 find t 4x3 + 3 11. dx 12. x4 +3x satisfi x² - 7 dx 7x x3 14. |*ी - 8x dx x² 13. 47. f x2 + 4x x² + 2x + 3 dx x3 + 3x2 + 9x 48. f dx x³ + 6x2 + 5 15. 16. x² 17. 3x + 2 dx 2x² + 7x – 3 dx A Slop 18. x + 1 x3 - 3x2 + 5 19. +3 x + 5 a poi solut 6x - 20 dx dx 20. x - 3 whic x4 + x - 4 -p- x2 + 2 4x2 - 4x + 20 dx copy and 21. 22. x² - 5 (In x)² 23. dx diffe dx 24. x(ln x²)³ solu 25. 1 1 pass dx Vi(1 – 3 E) 26. x2/3(1 + x'/3) ° dx бх 49. 27. (x- 5)2 d. dx x(х - 2) 28. dx (x-1)3 Change of Variables In Exercises 29-32, find the indefinite integral by making 8.
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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Transcribed Image Text:3. Guidelines for Integration
alter an integrand so that it fits an integration form
se
4. Trigonometric Functions Integrating which
trigonometric function results in In|sin x + C?
41.
Differe
solutio
Finding an Indefinite Integral In Exercises
5-28, find the indefinite integral.
to gra
given p
dy
dx
5.
6.
43.
dx
dy
1
dx
2x + 5
dx
5- 4x
45.
dx
7.
dx
5-x3
dx
10.
9.
x² - 3
Findi
2x
dx
x³ - 3x²
x2
find t
4x3 + 3
11.
dx
12.
x4 +3x
satisfi
x² - 7
dx
7x
x3
14.
|*ी
- 8x
dx
x²
13.
47. f
x2 + 4x
x² + 2x + 3
dx
x3 + 3x2 + 9x
48. f
dx
x³ + 6x2 + 5
15.
16.
x²
17.
3x + 2
dx
2x² + 7x – 3
dx
A Slop
18.
x + 1
x3 - 3x2 + 5
19.
+3
x + 5
a poi
solut
6x - 20
dx
dx
20.
x - 3
whic
x4 + x - 4
-p-
x2 + 2
4x2 - 4x + 20
dx
copy
and
21.
22.
x² - 5
(In x)²
23.
dx
diffe
dx
24.
x(ln x²)³
solu
25.
1
1
pass
dx
Vi(1 – 3 E)
26.
x2/3(1 + x'/3) °
dx
бх
49.
27.
(x- 5)2 d.
dx
x(х - 2)
28.
dx
(x-1)3
Change of Variables In Exercises 29-32, find
the indefinite integral by making
8.
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