### Home > CALC > Chapter 4 > Lesson 4.2.1 > Problem4-44

4-44.

Find the general antiderivative, $F(x)$, for each function, $f(x)$, below.

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

Check your work by differentiating your solution. It's easy to make errors with $+$ and $−$ values.

$F(x) =\operatorname{sin}(x) + C$

1. $f ( x ) = - \frac { 2 } { x ^ { 2 } }$

Before you antidifferentiate, rewrite $f(x)$ with a negative exponent.

1. $f(x) =-9x^{1/3}$

For all of these, don't forget the $+C$.