# What is the net area between f(x) = 2/x^3  and the x-axis over x in [1, 2 ]?

Jun 27, 2018

$\frac{3}{4}$

#### Explanation:

The problem can be expressed in terms of an integral like so

${\int}_{1}^{2} \left(2 {x}^{-} 3\right) \mathrm{dx}$

Integrate using power rules

$- {x}^{-} 2$ from $1 \to 2$

$- {\left(2\right)}^{-} 2 - - {\left(1\right)}^{-} 2$

$1 - \frac{1}{4} \rightarrow \frac{3}{4}$