Write the antiderivative of each of the following functions.

1. $f (x) = \operatorname{sin}(x)$ 

   Hint (a):

   Do not forget the $+ C$.

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

   Hint (b):

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

3. $f(x)=\sec^2(x)$ 

   Hint (c):

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

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

   Hint (d):

   Rewrite $f(x)$ with negative exponents.