Question

$\int\limits^1_0 ( x^{2} -x)dx$

Answer 1

$\int\limits^1_0(x^2-x)dx=\dfrac{x^3}{3}\Bigg|^1_0-\dfrac{x^2}{2}\Bigg|^1_0=\left(\dfrac{1^3}{3}-\dfrac{0^3}{3}\right)-\left(\dfrac{1^2}{2}-\dfrac{0^2}{2}\right)=\dfrac{1}{3}-\dfrac{1}{2}=-\dfrac{1}{6}.$

Green eyes.