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i think the answer would be 64x^4 - 25y^2

yeah it is I have it broke down right here 64x^2-25y^2 = (8x)^2-(5y)^2 = (8x-5y)(8x+5y)

i think the best solution would be to integrate the function y, and then compute:
Y(x=3)-Y(x=-2)

64x^4-25y^2