Question: Consider the function f on 0 , 1 defined by f ( x ) = 0 x ( t 2 - t ) d t

Consider the function f on 0,1 defined by f(x)=0x(t2-t)dt.
a. Is the function f(x) increasing or decreasing on the interval 0,1?
b. Find the equation of the tangent to the graph of y=f(x) at the point where x=12.
Consider the function f on 0 , 1 defined by f ( x

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