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

Posted: Thu Jul 14, 2022 4:43 pm
by 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
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 41 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