### Home > CALC > Chapter 5 > Lesson 5.5.2 > Problem5-169

5-169.

Find the antiderivative of each function.

1. $f(x) = \sin x$

Don't forget the $+ C$.

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

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

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

What common trig function has a derivative of $y = \sec^²x$?

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

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