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

4-44.

What is the general antiderivative, $F$, for each function, $f$, below?

1. $f\left(x\right)=\cos\left(x\right)$

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

$F\left(x\right)=\sin\left(x\right)+C$

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

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

3. $f\left(x\right) = –9x^{1/3}$

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