Q. 245.0( 1 Vote )

# 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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