Let for all real

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

Let

f(x)=x^{3}-3x

for all real

x

, and define

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

. Determine all values of

x

(-3,3)

at which

F

has a critical point.