Question

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

Answer 1

`3/4`

Explanation:

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

`int_1^2(2x^-3)dx`

Integrate using power rules

`-x^-2` from `1->2`

`-(2)^-2--(1)^-2`

`1-1/4 rarr 3/4`