MATHEMATICS · Single correct · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change
Problem
While evaluating ∫x2+4x+72x−3dx, a student rewrites the numerator as 2(x+2)−7. What advantage does this step provide?
(a) It allows a term in the numerator to cancel with the denominator, leaving a constant integrand.
(b) It expresses part of the numerator as the derivative of the denominator.
(c) It factors the denominator completely.
(d) It converts the integral into the sum of two rational integrals with linear denominators.