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.
Answer :
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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