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Find the area?

Find the area of the region in the first quadrant enclosed by the graph of y=x(1-x) and the x-axis. 
 
Answer: 1/6
 
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1 Answer

Y = X( 1-X = -X^2 +X
 
    1
  ∫ -X^2 + X =  - X^3/ 3 + X^2/2 =( - 1/3 + 1/2 ) - ( 0)
   0
                                                  = -1/3 + 1/2 = 1/6  

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