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 +bx + c d.x. x3 (x - 1)2 Hint: the statement that the following integral is a rational function means: ax2 + bax + c dx P(x) x3 (x - 1)2 Q (x) + C, ALCULUS 1000B, Winter 2023 Assignment 1 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