MATHEMATICS · Single correct · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change
Problem
While computing ∫25g(x)dx, a student writes the antiderivative as G(x)+C. Which statement about the constant C is correct?
(a) It must be added only at the upper limit, so it remains in the final answer.
(b) It should be chosen so that G(2)=0, ensuring the integral starts from zero.
(c) It cancels out when G(5)−G(2) is formed, so it may be omitted.
(d) Its value depends on the limits of integration; different limits require different C.