# What is the definite integral of x^3 from 1 to 2?

${\int}_{1}^{2} {x}^{3} \mathrm{dx} = {\left[\frac{{x}^{4}}{4}\right]}_{1}^{2} = \left[\frac{{\left(2\right)}^{4}}{4} - \frac{{\left(1\right)}^{4}}{4}\right] = \frac{16}{4} - \frac{1}{4} = \frac{15}{4} = 3.75$
This image a graph of the function ${x}^{3}$. I zoomed in on Quadrant I and changed the window settings via the WINDOW button.