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