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The Integrand of the Following Definite Integral Is a Difference 04[(x+1)12x]dx\int _ { 0 } ^ { 4 } \left[ ( x + 1 ) - \frac { 1 } { 2 } x \right] d x

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The integrand of the following definite integral is a difference of two functions. 04[(x+1) 12x]dx\int _ { 0 } ^ { 4 } \left[ ( x + 1 ) - \frac { 1 } { 2 } x \right] d x Sketch the graph of the two functions and shade the region whose area is represented by the integral.


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