Question: 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 Hint:

Determine the condition that the constants a, b, and c should satisfy

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 Hint: the statement that the following integral is a rational function means: 2 ar+bx+c -dx = -dx. P(x) 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.

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