SubArea: Applications of definite integralLevel: AProject ID: 1003124406Source Problem: 2010011401Accepted: 1Clonable: 1Easy: 0Calculate the area of a plane region bounded by the graphs of the functions $f(x)=x^2+2x+2$ and $g(x)=6-x^2$.$9$$21$$15$$\frac{59}3$