Q24 of 25 Page 8

Find the area of the region bounded by the curve y = x3 and the lines y = x + 6 and y = 0.


Given; the curve y = x3 and the lines y = x + 6 and y = 0.


By solving the Equations;


x3 = x + 6


By substitution x = 2 is a solution


Area of the region bounded by the curve y=f(x), the x-axis and the ordinates x=a and x=b, where f(x) is a continuous function defined on [a,b], is given by .


Required Area



10 sq.units


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