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roselin

evaluate indefinite integrals intergral tan^2x Sec^2x dx

  • one year ago
  • one year ago

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  1. cinar
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    tanx=u

    • one year ago
  2. cinar
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    take the derivative

    • one year ago
  3. roselin
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    derivative of tanx?

    • one year ago
  4. cinar
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    both sides

    • one year ago
  5. cinar
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    what is it

    • one year ago
  6. roselin
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    derivative of tna is sec^2x

    • one year ago
  7. cinar
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    sec^2xdx=du

    • one year ago
  8. cinar
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    subs. them in int.

    • one year ago
  9. cinar
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    if tanx=u then what is tan^2x

    • one year ago
  10. roselin
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    u sqre

    • one year ago
  11. cinar
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    good

    • one year ago
  12. cinar
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    then what is your new int. depends on only u

    • one year ago
  13. cinar
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    int. tan^2x Sec^2x dx sec^2xdx=du tan^2x=u^2

    • one year ago
  14. roselin
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    csc x^3/ 3 ?

    • one year ago
  15. cinar
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    |dw:1355646302656:dw|

    • one year ago
  16. cinar
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    what are they in u

    • one year ago
  17. roselin
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    u^2 . du

    • one year ago
  18. cinar
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    yesssssss..

    • one year ago
  19. cinar
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    solve that integral..

    • one year ago
  20. roselin
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    1/3 tan^3 x+c ?

    • one year ago
  21. cinar
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    you got it..

    • one year ago
  22. roselin
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    but i have one question though

    • one year ago
  23. cinar
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    shoot it..

    • one year ago
  24. roselin
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    |dw:1355639354738:dw|

    • one year ago
  25. cinar
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    |dw:1355646949637:dw|

    • one year ago
  26. roselin
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    did not get it,s orry

    • one year ago
  27. cinar
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    they are the same thing but just different letter..

    • one year ago
  28. cinar
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    |dw:1355647192985:dw|

    • one year ago
  29. roselin
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    oh okay.

    • one year ago
  30. cinar
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    dx or du they are just saying that you are taking int. depends on that variable

    • one year ago
  31. cinar
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    |dw:1355647315134:dw|

    • one year ago
  32. cinar
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    you can assume that x is just a constant in here..

    • one year ago
  33. roselin
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    okay,thanks. i have another problem, will you help me with that?

    • one year ago
  34. cinar
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    ok..

    • one year ago
  35. roselin
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    thanks

    • one year ago
  36. roselin
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    |dw:1355640103615:dw|

    • one year ago
  37. cinar
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    |dw:1355647649309:dw|

    • one year ago
  38. cinar
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    take derivative

    • one year ago
  39. roselin
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    how do you decide which one is "U"?

    • one year ago
  40. cinar
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    (:

    • one year ago
  41. cinar
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    because I can see that derivative sinx =cosxdx and it is above

    • one year ago
  42. cinar
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    |dw:1355647787810:dw|

    • one year ago
  43. roselin
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    derivative of sin theta = cos theta d theta

    • one year ago
  44. cinar
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    but it is sinsqrt theta

    • one year ago
  45. roselin
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    cos sqrt theta d theta

    • one year ago
  46. cinar
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    |dw:1355647993776:dw|

    • one year ago
  47. cinar
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    one more thing youre missing

    • one year ago
  48. roselin
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    what is it?

    • one year ago
  49. cinar
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    derivative of sqrt theta

    • one year ago
  50. roselin
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    |dw:1355640793032:dw|

    • one year ago
  51. cinar
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    |dw:1355648238516:dw|

    • one year ago
  52. cinar
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    |dw:1355648283456:dw|

    • one year ago
  53. roselin
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    how did you get that half?

    • one year ago
  54. cinar
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    |dw:1355648328997:dw|

    • one year ago
  55. cinar
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    |dw:1355648354029:dw|

    • one year ago
  56. cinar
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    |dw:1355648407558:dw|

    • one year ago
  57. cinar
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    what is your new integral..

    • one year ago
  58. cinar
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    |dw:1355648571843:dw|

    • one year ago
  59. roselin
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    1/2 integral 1/sin sqrt theta +c?

    • one year ago
  60. cinar
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    |dw:1355648717143:dw|

    • one year ago
  61. cinar
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    |dw:1355648783325:dw|

    • one year ago
  62. roselin
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    confused

    • one year ago
  63. cinar
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    what is int. 1/x dx=?

    • one year ago
  64. roselin
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    d

    • one year ago
  65. roselin
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    x

    • one year ago
  66. cinar
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    |dw:1355648969297:dw|

    • one year ago
  67. roselin
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    okay

    • one year ago
  68. cinar
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    in your case lnu+c put u back in

    • one year ago
  69. cinar
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    I gotta go, any question..

    • one year ago
  70. roselin
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    so,thats the ans ? after putting the u?

    • one year ago
  71. cinar
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    yes, ln(sin sqrt theta)+c is the answer..

    • one year ago
  72. roselin
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    okay,thanks a lot

    • one year ago
  73. cinar
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    np..

    • one year ago
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