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Integrating a function

  1. Mar 4, 2010 #1
    Can someone help solve these two equations:

    1. T[Cos(t)] = ∫[Sin(t-x)Cos(t)]dx the limits are from 0 to 2pi

    2. T[Sin(t)]=∫[Sin(t-x)Sin(t)]dx; the limits are from 0 to 2pi


    Thanks
     
  2. jcsd
  3. Mar 5, 2010 #2

    Mark44

    Staff: Mentor

    What have you tried? You need to make a reasonable effort before we can provide any help.
     
  4. Mar 5, 2010 #3

    berkeman

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    Staff: Mentor

    Per the PF rules, you need to show some effort at solving these problems before we can help you. But I'll offer a hint: If the integration is with respect to x (as indicated by the dx in each equation), then what can you do with the Sin(t) and Cos(t) terms in each equation?
     
  5. Mar 5, 2010 #4
    Well Sin(t) and Cos(t) is a constant; each of these terms will come outside the integration, if we x is the integrating variable.
     
    Last edited: Mar 5, 2010
  6. Mar 5, 2010 #5
    I computed both the integration and getting "0" for both results!!!
     
  7. Mar 5, 2010 #6

    berkeman

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    Staff: Mentor

    Probably related to integrating sinusoidal functions from 0 to 2*PI, eh?
     
  8. Mar 5, 2010 #7
    yes...the integrating result with 0 to pi gave me the "zero" results.
     
  9. Mar 5, 2010 #8
    You really should post your attempted solution so that we can see what's plaguing you...
     
  10. Mar 5, 2010 #9

    berkeman

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    Staff: Mentor

    No, you said 0 to 2*PI in your original post (OP) above.
     
  11. Mar 5, 2010 #10
    my mistake..my result came to be "0" for both the equations when the limits are from 0 to 2pi.

    regards
     
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