### Home > APCALC > Chapter 5 > Lesson 5.5.2 > Problem5-170

5-170.

Write the antiderivative of each of the following functions.

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

Do not forget the $+ C$.

2. $f ( x ) = \frac { 2 } { ( x + 3 ) ^ { 3 } }$

Think of this as $f(x) = 2(x + 3)^{-3}$.

3. $f(x)=\sec^2(x)$

What common trigonometric function has a derivative of $y = \operatorname{sec}^2(x)$?

4. $f ( x ) = \frac { 3 } { x ^ { 3 } } + \frac { 2 } { x ^ { 4 } }$

Rewrite $f(x)$ with negative exponents.