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

3-166.

Find the general antiderivative $F(x)$ for each function below. Test your solution by verifying that $F^\prime(x) = f(x)$.

1. $f ( x ) = 3 x ^ { 1 / 2 } - 7 x$

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

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

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