- #1

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∫∫x dA bound by y = 4x^3 - x^4 and y = 3 - 4x + 4x^2.

All I can think to do is equate the two equations to find where they intercept to give the bounds for the double integral giving 0 = x^4 - 4x^3 + 4x^2 - 4x + 3. But I don't know where to go from here.

Any help would be appreciated.