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# Find the area of the region bounded by the curve y = x2, the X−axis and the given lines x = 0, x = 3 - Mathematics and Statistics

Sum

Find the area of the region bounded by the curve y = x2, the X−axis and the given lines x = 0, x = 3

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#### Solution

Let A be the required area.

Consider the equation y = x

∴ A = int_0^3 y  "d"x

= int_0^3 x^2  "d"x

= [x^3/3]_0^3

= 1/3(3^3 - 0)

= 9 sq.units

Concept: Area Bounded by the Curve, Axis and Line
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