Question

Boa noite, preciso de ajuda com a seguinte questão:

Answer 1

$- \int\limits^ \frac{1}{2} _0 {2 x^{2} -x} \, dx+ \int\limits^1_ \frac{1}{2} {2 x^{2}-x } \, dx =(- \frac{2 x^{3} }{3} + \frac{ x^{2} }{2})\left\begin{array}{cc} \frac{1}{2} \\0\\\end{array}\right +(\frac{2 x^{3} }{3} + \frac{ x^{2} }{2}) \left\begin{array}{cc} 1 \\ \frac{1}{2} \\\end{array}\right =  \\ (- \frac{2 ( \frac{1}{2}) ^{3} }{3} + \frac{  (\frac{1}{2}) ^{2} }{2})-(- \frac{2 .0^{3} }{3} + \frac{ .0^{2} }{2})  + (\frac{2.1^{3} }{3} + \frac{ 1^{2} }{2}) -\frac{2 ( \frac{1}{2}) ^{3} }{3} + \frac{  (\frac{1}{2}) ^{2} }{2})=[tex] \frac{1}{24}$[/tex]