Posted by bobby on .
Consider the area between the graphs x+y=16 and x+4= (y^2). This area can be computed in two different ways using integrals.
First of all it can be computed as a sum of two integrals integrate from a to b of f(x)dx + integrate from b to c of g(x)dx
What is the value of a, b, c and what are f(x) and g(x) equal to?
Alternatively this area can be computed as a single integral
integrate from alpha to beta of h(y)dy
Alpha=?, Beta=?, h(y)=?
Either way we find that the area is: ?