Find the area enclosed by the function y=f(x) and x-axis for #f(x)=-x(x-2)(x-4)#?

Question

#f(x)=-x(x-2)(x-4)#

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Answer 1 · 2018-06-01T13:42:57

#8units^2#

It is
#|int_0^2-x(x-2)(x-4)dx|+int_2^4-x(x-2)(x-4)dx#
and
#int-x(x-2)(x-4)dx=-4x^2+2x^3-x^4/4+C#