Consider the area between the graphs x + 4y = 14 and x + 7 = 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. a c
∫ f(x). dx + ∫ g(x). dx
b d

Alternatively this area can be computed as a single integral.
β
∫h(y). dy
α