Question: Consider the functions f(x) = x^4 x^3 + 1 , and g(x) = x^4 2x^3 + x + 1 . Find the points of intersection,

Consider the functions f(x) = x^4 x^3 + 1 , and g(x) = x^4 2x^3 + x + 1 . Find the points of intersection, and hence the area of the region which is completely bounded by the graphs of these two functions.

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