### Home > APCALC > Chapter 3 > Lesson 3.4.2 > Problem3-166

3-166.

What is the general antiderivative, $F$, for each function below? Test your solution by verifying that $F^\prime (x) = f(x)$

1. $f(x) = 3x^{1/2} − 7x$

Don't forget the vertical shift $(+C)$.

1. $f(x) = \cos(x) + 2\sin(x)$

Be careful of your signs! Don't forget the vertical shift $(+C)$.