As per title. All that is given in the title (w(x),a,b) are known and well defined on the entire computational interval.
closed as not a real question by Did, Davide Giraudo, Matt N., tomasz, Micah Nov 21 '12 at 17:03
It's difficult to tell what is being asked here. This question is ambiguous, vague, incomplete, overly broad, or rhetorical and cannot be reasonably answered in its current form. For help clarifying this question so that it can be reopened, visit the help center.If this question can be reworded to fit the rules in the help center, please edit the question.
If you know how to do the integration, integrate it and check if the answer is finite. Otherwise, you have a bunch of techniques including comparison with known integrals. It is impossible to give a general procedure.