CPM Homework Help : CALC Problem 9-66

Compare the expressions $\int f ( x ) d x$ 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 $a^{\prime\prime}+C^{\prime\prime}$ ?