Q. 245.0( 1 Vote )

Find the area of

Answer :


As the curves bound the area as shown in figure.


Point of intersection can be obtained as –


As y = x and y = x2


x2 = x


x2 – x = 0


x(x – 1) = 0


x = 0 or x = 1


Therefore intersection points are (0,0) and (1,1).


Required area = area of ΔOAB – area of curve OCBA


=


=


The area of the region bounded by the parabola y = x2 and y = x is 1/6 sq units.


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