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The area enclosed by the curve C:y=xsqrt...

The area enclosed by the curve `C:y=xsqrt(9-x^(2))(xge0)` and the x-axis is___.

Text Solution

Verified by Experts

The correct Answer is:
9
Required area
`A=overset(3)underset(0)intxsqrt(9-x^(2))dx," Put "9-x^(2)=t^(2)rArr-2x" "dx =2t" "dt`
`therefore" "A=overset(3)underset(0)intt^(2)dt=9`
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