Consider the area between the graphs x+1y=12 and x+8=y2. This area can be computed in two different ways using integrals

[answerhappygod]

Consider The Area Between The Graphs X 1y 12 And X 8 Y2 This Area Can Be Computed In Two Different Ways Using Integrals 1 (44.59 KiB) Viewed 40 times

Consider the area between the graphs x+1y=12 and x+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 integrals  where a=b∫ab​f(x)dx+∫bc​g(x)dxf(x)=g(x)=y2−y+4​ Alternatively this area can be computed as a single integral ∫αβ​h(y)dy  where αh(y)=​ Either way we find that the area is