Let . A classmate proposes as an antiderivative of . Answer the following: (i) Verify…
MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change
Problem
Let f(x)=x2+2. A classmate proposes F(x)=3x3+2x as an antiderivative of f(x). Answer the following:
(i) Verify whether F(x) is an antiderivative of f(x).
(ii) Write the most general antiderivative of f(x).
(iii) Find the particular antiderivative that satisfies F(1)=5.