Answer:
9
Step-by-step explanation:
You want the value of the given integral, when areas A, B, C are all 3.
Integral
The integral can be decomposed to the sum ...
[tex]\displaystyle\int_{-4}^2{[f(x)+2x+4]}\,dx=\int_{-4}^2{f(x)}\,dx+\int_{-4}^2{(2x+4)}\,dx\\\\\\=-3+3-3+[x^2+4x]_{-4}^2=-3+(2^2-(-4)^2)+4(2-(-4))\\\\\\=-3+(4-16)+4(2+4)=-3-12+24 =\boxed{9}[/tex]
The value of the integral is 9.
