CPM Homework Help : APCALC Problem 9-65

Compare the expressions $\frac { d } { d x }$ $\int_{ }^{ }f(x)dx$ and $\int ( \frac { d } { d x } f ( x ) ) d x$ . List any similarities and differences.

Hint:

The first expression is the derivative of an integral. The second expression is the integral of a derivative. Which expression, when evaluated, will have a " $+ C$ "?