Mathematics

Problem

Let

f(x)=\begin{cases}x^{2}, & 0\le x\le1\\2-x, & 1< x\le2\end{cases}

and

g(x)=\dfrac{x}{2}

for

0\le x\le2

. Compute the area of the region bounded by the graphs of

f

and

g

[0,2]