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Set up an appropriate iterated integral to find the area of the region bounded by the graphs of y = x^3 - x and y = a(x^2) for x≥0. (take a to be a constant)

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This solution is comprised of a detailed explanation to set up an appropriate iterated integral to find the area of the region bounded by the graphs of y = x^3 - x and y = a(x^2) for x≥0.

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Mathematics, Calculus Year 4 double integral
Set up an appropriate iterated integral to find the area of the region bounded by the graphs of y = x^3 - x and y = a(x^2) for x≥0. (take a to be a constant)
Bid Credits: 10 Deadline: January 15, 2006, 11:05 am EST

First, let's take a look at the derivation of formula
Consider the plane region , as illustrated here:

The area of the purple region can be calculated with Calculus techniques learned in Calculus I in the usual way: ...

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