Moderate# Comparing Integrals 1

APCALC-8SKSKB

If $f(x) $ is a differentiable function, which of the following statements is true?

I.$\cfrac { d }{ dx } \int _{ 2 }^{ 0 }{ f( t ) dt=-f( x ) } $

II. $\cfrac { d }{ dx } \int _{ 2 }^{ x }{ { f }^{ \prime } } ( t ) dt={ f }^{ \prime }( x ) $

III. $\cfrac { d }{ dx } \int _{ 2 }^{ x }{ { f } } ( t ) dt={ f }( x ) $