Sunday, December 6, 2009

Trig Calculus

  1. ∫5sinb db
  2. ∫5cosm dm
  3. ∫5sinb + 9b^4 db
  4. ∫5/x dx
  5. Find the derivative of the following

Let f(t) = 5 cos t , f(x) = sin x, Let f(x) = 3cos x + 5x, Let f(t) = 2t + sin t. f(t) = 1/t2 - sin t, Let f(x) = sin x - cos x. Let f(x) = 2sin x + 3cos x. Let f(x) = 4sin x + 1/x.
Let f(t) = -3sin t + 1/2 cos t.

6. Find the integration of the following
Let f(t) = 5 cos t , f(x) = sin x, Let f(x) = 3cos x + 5x, Let f(t) = 2t + sin t. f(t) = 1/t2 - sin t, Let f(x) = sin x - cos x. Let f(x) = 2sin x + 3cos x. Let f(x) = 4sin x + 1/x. Let f(t) = -3sin t + 1/2 cos t.

88 comments:

  1. for no 1;
    integrating 5 sinb db gives
    -5cos b db

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  2. for no 2
    integrating 5 cos mdm gives
    5sinm dm

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  3. i real trying so if ah wrong tell me k

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  4. for f(t)= 5cos t
    df/dt= -5sin t

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  5. for f(x)= 3cos x + 5x
    df/dx = -3 sin x + 5

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  6. for f(x)= 2t + sin t
    df/dt= 2 +cos t

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  7. for f(x)= 1/t2 - sin t
    = 1t^-2 - sin t
    df/dt= -2t^-3 - cos t

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  8. ZOE
    When integrating why are you putting db
    for no 1;
    integrating 5 sinb db gives
    -5cos b + C

    No 3 Integrate wrt x
    Let f(x) = 3cos x + 5x
    3sinx + 5/2 x^2 + C

    What exactly did you do
    for no 3
    ans= -5cosb + 9b^5/5

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  9. for f(x)= sin x - cos x
    df/dx= cos x - -sin x
    cos x = sin x

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  10. for f(x)= 2sin x + 3cos x
    df/dx= 2cos x - 3 sin x

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  11. f(x)= 4sin x + 1/x
    4sin x + 1x^-1
    df/dx= 4cos x + -1x^-2

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  12. miss for no. 3 i added 1 to the power and divided by the new power.. ent that is the rule?

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  13. miss i scared abt exam.... think we cud do some practice sessions tomorrow??

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  14. miss for no. 3 i added 1 to the power and divided by the new power.. ent that is the rule?

    Let f(x) = 3cos x + 5x
    How many terms are in this question?
    2
    What are they?
    3cosx
    5x
    Now integrate each
    3cosx integrated will give 3sinx
    5x integrated will give
    what is the power of x? 1
    add 1 to the power and divided by the new power.. ent that is the rule?
    2 is the new power
    so 5x/2

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  15. miss this thing giving ducklin a headache honestly

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  16. miss please do one as a example so i could see how to do it

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  17. (1) 5sinb db
    -5cosb+c

    (2)5cosm dm
    5sinm +c
    check and see if that right

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  18. (3)5sinb+9b^4 db
    -5cosb+9b^5/5+c

    (4)5/x dx
    5/x +c

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  19. This comment has been removed by the author.

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  20. (5) i just did two
    (fx)=4sinx+1/x
    df/dx=4cosx+x^-1
    4cosx-x^-2

    f(t)= -3sint+1/2cost
    df/dt=-3cos-1/2sint

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  21. grape how you going girl i see you bloging

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  22. ∫5sinb db

    the answer is -5 cosb + c

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  23. if i wrong can someone help me because i am really confused

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  24. (6) f(t)=5cost
    5cost f(t)
    5sint+c

    f(x)=sinx
    sinx f(x)
    -cosx+c
    _

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  25. number (1)

    integrating 5 sinb db equals
    -5cos b db

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  26. number (3)

    ∫5sinb + 9b^4 db
    -5cosb + 9b^5/5

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  27. i dont even know where to begin answering these questions!!!!!!!

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  28. hi sunflower its nice to know i'm not alone

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  29. miss for #1, how come db gives you +c

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  30. can someone show me how to do this
    f(x)=4sinx + 1/x

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  31. is the opposit of sinx -cosx or cosx

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  32. snowwhite i trin something an i may be wrong so
    f{x}=4sinx+(1/x) (1/x)=1^-x

    dy/dx=-4cosx-x^-1

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  33. Let f(x) = 3cos x + 5x
    dy/dx=-3sinx+5x/2

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  34. 3)∫5sinb + 9b^4 db
    = -5cosb + [9b(4+1)]/5 + c
    = -5cosb + 9b^5/5 + c

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  35. 4)∫5/x dx
    ∫5x^-1 dx
    =[5x(-1+1)]/0 + c
    =5lnx + c

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  36. tanx for that explaination miss.. i think i get it now..

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  37. in that explanation,how come u got 2 and why 3sinx was not included?

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  38. ok are we going to get questions like this for exams

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  39. This comment has been removed by the author.

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  40. number3:

    ∫5sinb + 9b^4 db
    = -5cosb + 9b(4+1)/5 + c
    = -5cosb + 9b^5/5 + c

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  41. number4:

    ∫5/x dx
    ∫5x^-1 dx
    =[5x(-1+1)]/0 + c

    can someone complete my questionplease and explain why and how you did it... :)

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  42. ∫5/x dx

    =∫(1/x)5 dx

    the integral of 1/x = ln x + c
    therefore
    ∫(1/x)5 dx
    =5 ln x + c

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  43. posting up some questions to try.

    (1)∫ sinx + 2.

    (2)∫ cosx - sinx

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  44. (3)∫ 5cosx + 4 sinx - 1 between the limits 3 and 1

    (4)∫ 3 - x^1/2 + 1/2sinx

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  45. no6. Let f(x) = sin x - cos x.

    ∫ sin x - cos x.

    = -cosx - sinx + c

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  46. no6. f(t) = -3sin t + 1/2 cos t

    ∫ -3sin t + 1/2 cos t

    = 3cos t + 1/2 sin t

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  47. no5 let f(x) = 2sin x + 3cos x

    dy/dx = 2cosx - 3sinx

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  48. 1). y= 5sinb db
    the integral of that is -5cosb + c

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  49. 2). y=5cosm dm

    the integral of that is 5sinm + c

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  50. 3). y=5sinb+9b^4

    the integral of that is -5cosb+36/5b^5

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  51. 4). y=5x^-1

    the integral of that is -5x^0/0
    = 0

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  52. This comment has been removed by the author.

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  53. 7). f(x)= 3 cos x + 5x
    df/dx= -3sin x + 5

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  54. 7). f(x)= 4sin x + 1x^-1
    df/dx= 4cos x - 1x^-1

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  55. 7). f(t)= -3sin t + 1/2 cos t
    df/dx= -3cos t - 1/2sin t

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  56. it supposed to no 5 not no 7 for the question above.

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  57. 6). f(t)= 5 cos t

    the integral of that is 5 sin t

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  58. 6). f(x)= sin x
    the integral of that is - cos x

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  59. 6). f(x)= 3 cos x + 5x

    the integral of that is 3 sin x + 5/2x^2

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  60. 6). f(t)= 2t + sin t

    the integral of that is t^2 - cos t

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  61. 6). f9t)= 1t^-2 - sin t

    the integral of that is -t^-1 + cos t

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  62. 6). f(x)= sin x - cos x

    the integral of that is - cosx - sinx

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  63. 6). f(x)= 2sinx + 3cosx

    the integral of that is -2cosx + 3sinx

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  64. 6). f(t)= -3sint + 1/2cost

    the integral of that is 3cost + 1/2sint

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  65. 3)5sinb+9b^4 db
    -5cosb+9b^5/5+c

    (4)5/x dx
    5/x +c

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  66. 6). f(x)= 2sinx + 3cosx

    the integral of that is -2cosx + 3sinx

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  67. question 1

    the integral of 5sinb db

    =-5cosb + c

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  68. question 2

    the integral of 5cosm dm

    =5sinm + k

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  69. question 3

    the intergal of 5sinb + 9b^4 db

    =-5cosb + 9/5b^5 db

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  70. question 4

    the integral of 5/x dx

    =5ln[x] + k

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  71. INTEGRATING IS REALLY CONFUSING. I KNOW ITS KINDA LATE IN SAYING DAT NOW!!!!!!!!

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  72. why in the integral of 5sinb db the 5 turns to negative???? i doh undastan...

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  73. Q4.
    integral of 5/x dx:
    = 5x^-1
    integral = 5 + c

    Don't ask how i arrived at this..cuz i doh kno mihself.... if any1 can clarify this, please do..

    ReplyDelete
  74. Let f(t) = 5 cos t ,
    df/dt=-5sin t

    f(x) = sin x,
    dy/dx=cos x

    Let f(x) = 3cos x + 5x,
    dy/dx=-3sin x +5

    Let f(t) = 2t + sin t.
    dt/dx=2 + cos t

    f(t) = 1/t2 - sin t,
    f(t)= 1 (t)^-2 - sin t
    dt/dx=-2t^-3 - cos t
    dt/dx=-2/t^3 - cos t

    Let f(x) = sin x - cos x.
    dy/dx= cos x +sin x

    Let f(x) = 2sin x + 3cos x.
    dy/dx=2cos x - 3sin x

    Let f(x) = 4sin x + 1/x
    f(x)=4sin x + 1(x)^-1
    dy/dx=4cos x -1x^-2
    dy/dx=4cos x -1/x^2


    Let f(t) = -3sin t + 1/2 cos t.
    f(t)=-3sin t + 1 (2 cos t)^-1
    dt/dx= -3cos t - 1 (-2sin t)^-2
    dt/dx=-3cos t -1/-2sin t^1

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