Determine the condition that the constants a, b, and c should satisfy in order that the following integral is a rational function: ar'+ ba + c dx. r3 (x - 1)2 Hint: the statement that the following integral is a rational function means: ar'+ be + c P(x) 3 (x - 1)2 Q (x) - C, where P(x) and Q (x) are polynomial functions. In other words, the result of integra- tion does not contain transcendental functions like logarithms, trigonometric and inverse trigonometric functions, etc