Final answer:
In integrals with a higher-degree polynomial in the numerator than in the denominator, perform polynomial division to simplify the equation before integrating. For division of exponentials, subtract the exponents of terms with the same base after dividing the coefficients. Reaction quotient in chemistry is not directly related to this process in integration.
Step-by-step explanation:
When encountering an integral in mathematics where the degree of the polynomial in the numerator is greater than the degree of the polynomial in the denominator, the first step is often to perform polynomial long division or synthetic division. This process will reduce the improper fraction into a sum of a polynomial (which can be integrated term by term) and a proper fraction. The proper fraction can then be tackled using various integration techniques, which may include partial fraction decomposition, if necessary.
Related to integration, division of exponentials involves dividing the coefficients of the terms and subtracting the exponents when the terms have the same base. This technique is useful when simplifying expressions before integration.
In chemistry, the reaction quotient is expressed as a ratio where the products (C and D) are in the numerator and the reactants (A and B) are in the denominator. However, in the context of integration, if dealing with exponential functions, then this concept doesn't directly apply, and the focus should be on algebraic manipulation to simplify the integrand.