Consider the area between the graphsx+6y=8andx+8=y2. This area can be computed in two different ways using integrals

First of all it can be computed as a sum of two integralsabf(x)dx+bcg(x)dxwherea= ,b=,c= and f(x)= g(x)=

Alternatively this area can be computed as a single integralh(y)dywhere= ,= and h(y)= Either way we find that the area is .