7.1 EXERCISES 2 Evaluate the integral using integration by parts with the 13. f r ese' t dt 14. Í x cosh licated choices of u and dv. S xe" dx; u- r, do = dr 15. (In x)' dx 16. 10 .SV Inx dx; u In x, dv = /x dx 17. e" sin 30 do 18. e" co 19. :'e' dz 20. x tan 36 Evaluate the integral. f ve, is xe fx cos 5x dx 4. Í ye" dy - dx 21. 1+ 2x)* 22. ( (arcsir - fe" dt 6. f(x – 1) sin mx dx 23. " 1/2 x cos Tx dx 24. . f(x² + 2x) cos x dx Se sin Bt dt y sinh y dy 26. w' Im 25. - S cos "s dx 10. Í In Va dx In R dR R 28. "'si- 27. Ja 12. tan 2y dy 29. x sin x cos x dx 30. arct.
7.1 EXERCISES 2 Evaluate the integral using integration by parts with the 13. f r ese' t dt 14. Í x cosh licated choices of u and dv. S xe" dx; u- r, do = dr 15. (In x)' dx 16. 10 .SV Inx dx; u In x, dv = /x dx 17. e" sin 30 do 18. e" co 19. :'e' dz 20. x tan 36 Evaluate the integral. f ve, is xe fx cos 5x dx 4. Í ye" dy - dx 21. 1+ 2x)* 22. ( (arcsir - fe" dt 6. f(x – 1) sin mx dx 23. " 1/2 x cos Tx dx 24. . f(x² + 2x) cos x dx Se sin Bt dt y sinh y dy 26. w' Im 25. - S cos "s dx 10. Í In Va dx In R dR R 28. "'si- 27. Ja 12. tan 2y dy 29. x sin x cos x dx 30. arct.
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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Please solve 3,5,8
Transcribed Image Text:7.1 EXERCISES
1-2 Evaluate the integral using integration by parts with the
indicated choices of u and dv.
(1 esc t dt
x cosh ax dx
13.
16. 10 dz
S xe" dx;
2. j vī in x ds;
1.
15. (In x)' dx
u= r, du = p" dr
u- In x, dv - Vx dx
17. e"
18. e"cos 20 do
20
sin 30 do
19. :'e' dz
z'e*
20. a
r tanx dx
3-36 Evaluate the integral.
4. Í ve* dy
3.
x cos 5x dx
21.
(1 + 2x)²
- dx
(arcsin x) dx
22.
5. Íte
(x-1) sin 7x dx
1/2
te M dt
6.
23.
x cos TX dx
24.
+ 1)e dx
7. (x + 2x) cos x dx
8. ' sin Bt dt
25. y sinh y dy
26. w' In w dw
10. j In va dx
In R
-dR
R2
9.
cos"'x dx
27.
28. "1' sin 2t dt
11.
12.
tan 2y dy
29.
X sin x cosx dx
30.
arctan(1/x) dx
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