# What is the net area between #f(x) = x^2+1/x # and the x-axis over #x in [2, 4 ]#?

##### 1 Answer

Apr 11, 2016

#### Explanation:

Over the interval

To actually find the area, integrate

Using the sum rule,

And evaluating the integrals,

Doing some substitutions and algebra:

If we wanted a precise answer, we could leave it like this. An approximation to 2 decimal places is