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 = ?