Correct answer: 72
\(y=x^{2}-5 x\) and \(y=7 x-x^{2}\)
\(\int\limits_{0}^{6}(g(x)-f(x)) d x\)
\(\int\limits_{0}^{6}\left(\left(7 x-x^{2}\right)-\left(x^{2}-5 x\right)\right) d x\)
\(\int\limits_{0}^{6}\left(12 x-2 x^{2}\right) d x=\left[12 \frac{x^{2}}{2}-\frac{2 x^{3}}{3}\right]_{0}^{6}\)
\(\Rightarrow 6(6)^{2}-\frac{2}{3}(6)^{3}\)
\(=216-144\)
\(=72 \text{ unit}^2\)
