Maharashtra State BoardHSC Arts 12th Board Exam
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Find the Area of the Region Bounded by the Parabola y^2 = 16x and the Line x = 3. - Mathematics and Statistics

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Find the area of the region bounded by the parabola y2 = 16x and the line x = 3.

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Solution

`y^2 = 16x`

`area =2int_0^3ydx`

`=2int_0^34 sqrtxdx`

`=8 2/3[x^(3/2)]_0^3`

`=16/3[3^(3/2)]`

`=16/3[3xx3^(1/2)]`

`=16[3^(1/2)]`

`=16sqrt3 sq.units`

Concept: Area of the Region Bounded by a Curve and a Line
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