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Integral Calculation

  1. Aug 3, 2004 #1
    I am trying to calculate (analytically) the integral:
    [itex] \int_{0}^{\pi} \left [ \frac{ \sin( \frac{k_0 W \cos \theta}{2})}{\cos \theta} \right]^2 J_{0}(k_0 L \sin \theta ) \sin^3 (\theta ) d \theta [/itex]
    where [itex] k_0, W, L [/itex] are constants and [itex] J_0 [/itex] is the Bessel function of the first kind of order zero.

    Hint: Maybe we can use sine integrals [itex] Si(x)=\int_{0}^{x} \frac{\sin(\tau)}{\tau} d \tau [/itex].

    Thanks in advance,
    kprokopi
     
  2. jcsd
  3. Aug 3, 2004 #2

    arildno

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    Eeh, you don't happen to be a masochist or something (:wink:)??

    Use Mathematica and see what it spits out.
     
  4. Aug 3, 2004 #3
    That looks tricky.
    Can't you cheat and use the trapezium rule with a large number of intervals? -_-;;
     
  5. Aug 5, 2004 #4

    Gza

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    Just try typing that monster into mathematica :rofl:
     
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