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We have to find Preea of Region bounded by the curves f(x)=x^(3)-x^(2)-4x-1 and g(x)=x^(2)-3x-3 over the Interval [-1,2]the Region bounded by these curves over Interwal [-1,2] is shown in the graph by shaded parto then we have to find area of shaded part.for this first we finding intersection points of these carves rarr{:[x^(3)-x^(2)-4x-1=x^(2)-3x-3],[=>x^(3)-2x^(2)-x+2=0],[=>x=-1","2","1]:}function F(x)=x^(3)-x^(2)-4x-1 cuts x axls then{:[x^(3)-x^(2)-4x-1=0],[=>x=2.65","-0.27","-1.37]:}function g(x)=x^(2)-3x-3=0 cuts x axis then{:[x^(2)-3x-3=0],[=>x=3.79","-0.79]:}{:[" area "=[ ... See the full answer