### Home > CALC > Chapter 4 > Lesson 4.1.2 > Problem 4-19

4-19.

For each , find its general antiderivative,

*.*

Just as is the slope function of

*,*

*is the slope function of*

*.*

If the slope function,

, is horizontal, then the original function,, is _______________.If

is horizontal, thenwill be linear:

Check your work by finding the derivative of

. Are yourand signs correct?

*f*(*x*) = −3*x*^{2}+ 6*x*For all of these, don't forget the

.

*f*(*x*) = 2(*x*+ 3)If the slope function,

, is linear, then the original function,, will be _____________________________.