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

Area = $\frac{17}{6}$
A = int_a^b f(x) dx; x: x in [a, b]
for ${\int}_{1}^{2} \left({x}^{2} - x + 2\right) \mathrm{dx} = {\left[\frac{1}{3} {x}^{3} - \frac{1}{2} {x}^{2} + 2 x\right]}_{1}^{2}$
Area = $\frac{17}{6}$