The antiderivative of is the family

MATHEMATICS · Single correct · A Level · Mathematics · Integration · Integration

Problem

The antiderivative of

f(x)=2x

is the family

F(x)=x^{2}+C

. Which of the following single additional pieces of information is sufficient to identify the unique function

F

in this family? (a) The value of

F'(0)

. (b) The fact that

F

is an even function. (c) The value of

F(0)

. (d) The limit

\displaystyle \lim_{x\to\infty}\frac{F(x)}{x}