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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

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प्रश्न

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

योग

उत्तर

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 

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अध्याय 2.5: Application of Definite Integration - Very Short Answers

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