AP

MATHEMATICS · Single correct · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Let

f(x) = \int_{0}^{x} |t| dt

, then (1)

f(x)

is continuous but not differentiable for all

x \in R

(2)

f(x)

is continuous and differentiable for all

x \in R

(3)

f(x)

is continuous for

x \in R - \left\{\frac{1}{2}\right\}

and

f(x)

is differentiable for

x \in R - \left\{\frac{1}{2}\right\}

(4) None of these