CPM Homework Help : CALC Problem 5-169

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Home > CALC > Chapter 5 > Lesson 5.5.2 > Problem 5-169

5-169.

Find the antiderivative of each function.

$f(x) = \sin x$
Hint (a):
Don't forget the $+ C$ .

$f ( x ) = \frac { 2 } { ( x + 3 ) ^ { 3 } }$
Hint (b):
Think of this as $f(x) = 2(x + 3)^{-3}$ .

$f(x) = \sec^2 x$
Hint (c):
What common trig function has a derivative of $y = \sec^²x$ ?

$f ( x ) = \frac { 3 } { x ^ { 3 } } + \frac { 2 } { x ^ { 4 } }$
Hint (d):
Before you find $F(x)$ , rewrite $f(x)$ with a negative exponent.

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