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Homework Help: Integral of trigonometric function

  1. Jun 19, 2008 #1
    How do I find the derivative of cos2x?
    Do I use the chain rule?
    Edit: Sorry. I mean derivative, not integral.
    Last edited: Jun 19, 2008
  2. jcsd
  3. Jun 19, 2008 #2
    That looks good, my friend, so I think you've got it!
  4. Jun 19, 2008 #3
    yes, that's correct

    Now try it all in one step!
  5. Jun 19, 2008 #4
    what about the integral of xsin(x/2).
    How would I do that?
  6. Jun 19, 2008 #5
    Integral or Derivative? You might want to write it out properly ...
  7. Jun 19, 2008 #6
    integral of xsin(x/2) dx
  8. Jun 19, 2008 #7
    [tex]\int x\sin{\frac x 2}dx[/tex]

    Try integrating by parts.
  9. Jun 19, 2008 #8
    use sin(x/2) identity and try to convert everything to sin..

    I have a feeling that there's an easier way to do that
  10. Jun 20, 2008 #9


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    Homework Helper

    Hi Ry122! :smile:

    You can also use the chain rule without having to define a u:

    dcos2x/dx = (dcos2x/d(2x))(d(2x)/dx) = (-sin2x)(2). :smile:

    (That way, you can eventually do these things in your head! :wink:)
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