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Find the area of the region bounded by l...

Find the area of the region bounded by line x = 2 and parabola `y^(2)=8x`.

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The correct Answer is:
N/a
We have `y^(2)=8x" and " x=2`

`:. " Area of shaded region ," A =2int_(0)^(2)sqrt(8x)dx=2.2sqrt2int_(0)^(2)x^(1//2)dx`
`=4.sqrt2.[2. (x^(3//2))/3]_(0)^(2)=4sqrt2[2/3 .2sqrt2-0]`
`=32/." sq units"`
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NCERT EXEMPLAR-APPLICATION OF INTEGRALS-Application Of Integrals
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