# Is there a solution for this integral?

• September 9th, 2006, 01:12 AM
sramanujam
Is there a solution for this integral?
Using integral tables, we can find the solution for integration of type arctan(p/q)dx, where p and q are polynomial equations. but is there a solution for the integral of the form sqrt(polynomial)*arctan(linear eqn/sqrt(polynomial)), where both sqrt(polynomial)'s are same?

ie, is there a solution for the integral expression given below?

Int{ Sqrt(a*x^2+b*x+c) * arctan[ (p*x+q) / Sqrt(a*x^2+b*x+c) ] }dx = ?
• September 9th, 2006, 01:17 AM
Zelos
i dont know that, but int(x) means it turn what ever X is into a integer. 9,99999 turns to 9
• September 9th, 2006, 10:44 AM
Absane
I doubt there is a solution.

I know the Integator turns out nothing: http://integrals.wolfram.com/index.jsp
• September 10th, 2006, 02:55 AM
sramanujam
@zelos and absane:
thanks for your interest to my question.
@Zelos:
The Int() function you are talking about is in number theory, whereas my question is in calculus. Unfortunately I can't type out the integral symbol in this, that's the reason why I've typed as Int(functions)dx.
@Absane:
Integrals.com is very good online integrator, but still it returns timeout while performing the integration. I've tried out by downloading trial version of mathematica, supported by same website, but that also returns timeout. Is there a possible solution in terms of special functions etc.?
• September 10th, 2006, 03:01 AM
Zelos
Quote:

The Int() function you are talking about is in number theory, whereas my question is in calculus. Unfortunately I can't type out the integral symbol in this, that's the reason why I've typed as Int(functions)dx
hmm, can understand that, id use S(function)dx since S is the closest symbol to the intergral on the keyboard