Q3. (7 marks) Determine the condition that the constants a, b, and c should satisfy in order that the following integral is a rational function: ax' + bax + c x3 (x - 1)2 -dx. Hint: the statement that the following integral is a rational function means: - ax+ bx + c P(x) -dx = + C, x3 (x - 1)2 Q (x) 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