AP

MATHEMATICS · Multi-part · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Let

h(x)=3x^{2}-4x^{-1/2}+5x^{-4}

. (i) Determine the most general antiderivative

H(x)

h(x)

, simplifying each term. (ii) If

H(2)=7

, find the particular antiderivative that satisfies this condition.