Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member
    Dearly Missed

    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

    User Avatar

    Just try typing that monster into mathematica :rofl:
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Integral Calculation
  1. Integral Calculation (Replies: 15)

  2. Calculate integral (Replies: 7)

  3. Integral calculation (Replies: 0)

Loading...