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

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

    ReplyDelete
  3. for no 3
    ans= -5cosb + 9b^5/5

    ReplyDelete
  4. i real trying so if ah wrong tell me k

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

    ReplyDelete
  6. f(x)= sin x
    df/dx= cos x

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

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

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

    ReplyDelete
  10. 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

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

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

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

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

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

    ReplyDelete
  16. 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

    ReplyDelete
  17. miss this thing giving ducklin a headache honestly

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

    ReplyDelete
  19. (1) 5sinb db
    -5cosb+c

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

    ReplyDelete
  20. (3)5sinb+9b^4 db
    -5cosb+9b^5/5+c

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

    ReplyDelete
  21. This comment has been removed by the author.

    ReplyDelete
  22. (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

    ReplyDelete
  23. grape how you going girl i see you bloging

    ReplyDelete
  24. ∫5sinb db

    the answer is -5 cosb + c

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

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

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

    ReplyDelete
  27. number (1)

    integrating 5 sinb db equals
    -5cos b db

    ReplyDelete
  28. number (3)

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

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

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

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

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

    ReplyDelete
  33. is the opposit of sinx -cosx or cosx

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

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

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

    ReplyDelete
  36. 3)∫5sinb + 9b^4 db
    = -5cosb + [9b(4+1)]/5 + c
    = -5cosb + 9b^5/5 + c

    ReplyDelete
  37. 4)∫5/x dx
    ∫5x^-1 dx
    =[5x(-1+1)]/0 + c
    =5lnx + c

    ReplyDelete
  38. tanx for that explaination miss.. i think i get it now..

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

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

    ReplyDelete
  41. This comment has been removed by the author.

    ReplyDelete
  42. number3:

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

    ReplyDelete
  43. 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... :)

    ReplyDelete
  44. ∫5/x dx

    =∫(1/x)5 dx

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

    ReplyDelete
  45. posting up some questions to try.

    (1)∫ sinx + 2.

    (2)∫ cosx - sinx

    ReplyDelete
  46. (3)∫ 5cosx + 4 sinx - 1 between the limits 3 and 1

    (4)∫ 3 - x^1/2 + 1/2sinx

    ReplyDelete
  47. no6. Let f(x) = sin x - cos x.

    ∫ sin x - cos x.

    = -cosx - sinx + c

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

    ∫ -3sin t + 1/2 cos t

    = 3cos t + 1/2 sin t

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

    dy/dx = 2cosx - 3sinx

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

    ReplyDelete
  51. 2). y=5cosm dm

    the integral of that is 5sinm + c

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

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

    ReplyDelete
  53. 4). y=5x^-1

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

    ReplyDelete
  54. This comment has been removed by the author.

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

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

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

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

    ReplyDelete
  59. 6). f(t)= 5 cos t

    the integral of that is 5 sin t

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

    ReplyDelete
  61. 6). f(x)= 3 cos x + 5x

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

    ReplyDelete
  62. 6). f(t)= 2t + sin t

    the integral of that is t^2 - cos t

    ReplyDelete
  63. 6). f9t)= 1t^-2 - sin t

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

    ReplyDelete
  64. 6). f(x)= sin x - cos x

    the integral of that is - cosx - sinx

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

    the integral of that is -2cosx + 3sinx

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

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

    ReplyDelete
  67. 3)5sinb+9b^4 db
    -5cosb+9b^5/5+c

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

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

    the integral of that is -2cosx + 3sinx

    ReplyDelete
  69. question 1

    the integral of 5sinb db

    =-5cosb + c

    ReplyDelete
  70. question 2

    the integral of 5cosm dm

    =5sinm + k

    ReplyDelete
  71. question 3

    the intergal of 5sinb + 9b^4 db

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

    ReplyDelete
  72. question 4

    the integral of 5/x dx

    =5ln[x] + k

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

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

    ReplyDelete
  75. 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
  76. 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

    ReplyDelete
  77. This website is best for any queries against Swimming Pool Filtration Plant. If anyone is planning to get a pool filtration plant then, they can get instant assistance and complete help regarding this.

    ReplyDelete
  78. A swimming pool filtration plant is an important part of the place where there is a swimming pool in use, but also it is necessary to have all the knowledge about the same and for gathering all of that knowledge this website is the best place.

    ReplyDelete
  79. I was looking all around the internet for the information associated with the Swimming pool filtration plant and here at this website I got all the information that was needed.

    ReplyDelete