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

Please show all work.

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

Please show all work.

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Woodland Hills, CA

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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