Planned by the red arrow, solved by integrating only 92_5294519963757842295 =التعليق التوضيحيعرض1- Find the derivative of ywith respect to x, t, or 0 as appropriate→ 5.y = In 3x7. y = In (1²)6. y = In kx, k constant8. y = In (1/2)= In1010. v = In9.y11. y = In (0 + 1)→ 12. y = In (20 + 2)13. y = Inx→ 15. y = t(In t)214. y = (Inx)→ 16. y = t\VInt→ 18. y =Inx -17. y =Inx16Int19. v =t→ 20. y =1+ IntIn x1 + Inxx Inx21. y =→ 22. y =1 + Inx23. y = In (Inx)→ 24. y = In (In (In x))→ 27. y = cos (e-)→ 28. y = 0'e 2" cos 5029. y = In (3te)→ 30. y = In (2e sin t)→ 31. y = lIn32. y = In\1 + Vô.→ 34. y = esin (In t2 + 1)33. y = elcoS 1+ In t)35. v =sin e' dt36. y =In t dt2- Eyaluate the integrals in Exercises

1- Find the derivative of ywith respect to x, t, or 0 as appropriate + 5. y = In 3x 6. y = In kx, k constant 8. y = In (1/2) 10 10. y = In 7. y = In (1) 3 9. y = In 12. y = In (20 + 2) 11. y = In (0 + 1) 13. y = Inx → 15. y = t(In t)? %3D 14. y = (In.x) → 16. y = VInt %3D %3!

1- Find the derivative of ywith respect to x, t, or 0 as appropriate + 5. y = In 3x 6. y = In kx, k constant 8. y = In (1/2) 10 10. y = In 7. y = In (1) 3 9. y = In 12. y = In (20 + 2) 11. y = In (0 + 1) 13. y = Inx → 15. y = t(In t)? %3D 14. y = (In.x) → 16. y = VInt %3D %3!

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Planned by the red arrow, solved by integrating only

9
2_5294519963757842295 =
التعليق التوضيحي
عرض
1- Find the derivative of ywith respect to x, t, or 0 as appropriate
→ 5.
y = In 3x
7. y = In (1²)
6. y = In kx, k constant
8. y = In (1/2)
= In
10
10. v = In
9.
y
11. y = In (0 + 1)
→ 12. y = In (20 + 2)
13. y = Inx
→ 15. y = t(In t)2
14. y = (Inx)
→ 16. y = t\VInt
→ 18. y =
Inx -
17. y =
Inx
16
Int
19. v =
t
→ 20. y =
1+ Int
In x
1 + Inx
x Inx
21. y =
→ 22. y =
1 + Inx
23. y = In (Inx)
→ 24. y = In (In (In x))
→ 27. y = cos (e-)
→ 28. y = 0'e 2" cos 50
29. y = In (3te)
→ 30. y = In (2e sin t)
→ 31. y = lIn
32. y = In
\1 + Vô.
→ 34. y = esin (In t2 + 1)
33. y = elcoS 1+ In t)
35. v =
sin e' dt
36. y =
In t dt
2- Eyaluate the integrals in Exercises

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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