Recently I fruitlessly asked if anybody could help with the definite integral of(adsbygoogle = window.adsbygoogle || []).push({});

sin(a x) / ( x sqrt(-(x-q1)(x-q2)) )

from x=q1 to x=q2 where a,x, q1 and q2 are all real.

If the sqrt wasn't there one could use contour integration and consider residues at q1,q2 and 0 but with the sqrt I am somewhat stumped.

Yet this seems an obvious area to me: integrations between the roots of a quadratic Q(x) of functions of the form f(x) / Q(x)^alpha .

Is this really virgin territory?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Definite integration of f(x)/sqrt(-(x-q1)(x-q2))

Loading...

**Physics Forums | Science Articles, Homework Help, Discussion**