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

Looking for free online integration calculator.

  1. May 13, 2013 #1
    I have been looking for an integration calculator. I need to solve

    [tex]\int_0^{\pi} \frac{\cos (a \cos \theta)}{\sin \theta} d\theta[/tex]

    This is a sine integral that likely involve numerical analysis. I tried Wolfram free Mathematica and it did not find a solution. Please advice.
  2. jcsd
  3. May 13, 2013 #2


    User Avatar
    Science Advisor
    Homework Helper

    I suspect it has no closed form expression in terms of known special functions and you need to specify the range of the parameter, in order to study its convergence.
  4. May 13, 2013 #3
    If you do not have any additional information about 'a' I suspect you are going to have little success.

    If you know enough about the problem that you can justify integrating a series expansion then perhaps

    In[1]:= Integrate[Series[Cos[a t]/Sin[t], {t, Pi/2, 6}], {t, 0, Pi}]

    Out[1]= (Pi*(322560 - (-1 + a)*(1 + a)*Pi^2*(13440 - 168*(-5 + a^2)*Pi^2 + (61 - 14*a^2 + a^4)*Pi^4))*

    But that is making several assumptions.
  5. May 13, 2013 #4
    Thanks for the reply, "a" is just a constant, can be just a real number.
  6. May 13, 2013 #5
    I already simplify the formula already. "a" is just a constant number, 0 ≤ ##\theta## ≤ ##\pi##.
  7. May 13, 2013 #6
    i typed,
    " free online integration calculator ",
    into google and received a list of them.
    the first to come up was,

    wolfram mathematic
  8. May 13, 2013 #7
    I tried that already, it can't calculate this function. But thanks.
  9. May 14, 2013 #8


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

Share this great discussion with others via Reddit, Google+, Twitter, or Facebook