Integration of some function containing a singularity

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Xianjie le 20 Mar 2012
Dear All,
These days I am working on some integration integrate(cos(x)*sin(x)/x^t),x(0,a),a is a value. the value fot t is 1, 2, 3. The function also have the form cosx*cosx and sinx*sinx. The value x = 0 is the singularity. How to overcome this singularity. The function quadgk can integrate some funtion with endpoint singularity. x = 0 is the end point singularity. But the integral is not correct when use quadgk. How to solve this problem.
Thank you for your concern.

Réponse acceptée

Mike Hosea
Mike Hosea le 20 Mar 2012
QUADGK has no trouble when t=1, but for t=2,3,4,... the correct answer, if I am not mistaken, is Inf. You were expecting QUADGK to return Inf for you?
  3 commentaires
Mike Hosea
Mike Hosea le 21 Mar 2012
I believe QUADGK handles that case properly, though you may well run into precision issues.

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