Table 8.1 Basic Integration Formulas 1. k dx = kx + C, k real - |x° dx = p + 1 Sos 2. + C, p + -1 real 3. cos ax dx sin ax + C a 5. sec ax dx 6. csc? ar dx 4. sin ax dx = -- cos ax + C a tan ax + C a -- cot ax + C a ах dx 1 Ax + C 7. 8. csc ax cot ax di = csc ax + C a sec ax tan ax dx = - sec ax + C a 9. = - -- a dx 1 tan a a dx |x| + C 11. a? + + C sin + С,а> 0 a 10. 12. dr 13. sec a + C, a > 0 14. tan ax dr -In |sec ax| + C 15. cot ax dx = -In |sin ax| + C xVx? a 17. fese ax de -In csc ax + cot ax + C a 16. sec ax dx -In sec ax + tan ar + C a Use Table 8.1 (p. 520) to complete the process of evaluating sin x + 1 - dx cos?x
Table 8.1 Basic Integration Formulas 1. k dx = kx + C, k real - |x° dx = p + 1 Sos 2. + C, p + -1 real 3. cos ax dx sin ax + C a 5. sec ax dx 6. csc? ar dx 4. sin ax dx = -- cos ax + C a tan ax + C a -- cot ax + C a ах dx 1 Ax + C 7. 8. csc ax cot ax di = csc ax + C a sec ax tan ax dx = - sec ax + C a 9. = - -- a dx 1 tan a a dx |x| + C 11. a? + + C sin + С,а> 0 a 10. 12. dr 13. sec a + C, a > 0 14. tan ax dr -In |sec ax| + C 15. cot ax dx = -In |sin ax| + C xVx? a 17. fese ax de -In csc ax + cot ax + C a 16. sec ax dx -In sec ax + tan ar + C a Use Table 8.1 (p. 520) to complete the process of evaluating sin x + 1 - dx cos?x
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:Table 8.1 Basic Integration Formulas
1. k dx = kx + C, k real
- |x° dx =
p + 1
Sos
2.
+ C, p + -1 real
3. cos ax dx
sin ax + C
a
5. sec ax dx
6. csc? ar dx
4. sin ax dx
= -- cos ax + C
a
tan ax + C
a
-- cot ax + C
a
ах
dx
1
Ax + C
7.
8.
csc ax cot ax di =
csc ax + C
a
sec ax tan ax dx
= - sec ax + C
a
9.
= -
--
a
dx
1
tan
a
a
dx
|x| + C
11.
a? +
+ C
sin
+ С,а> 0
a
10.
12.
dr
13.
sec
a
+ C, a > 0
14.
tan ax dr
-In |sec ax| + C
15. cot ax dx =
-In |sin ax| + C
xVx?
a
17. fese ax de
-In csc ax + cot ax + C
a
16.
sec ax dx
-In sec ax + tan ar + C
a
Transcribed Image Text:Use Table 8.1 (p. 520)
to complete the process of evaluating
sin x + 1
- dx
cos?x
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