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Given fuction,f(x)={(x^(2), "for" 0 le x...

Given fuction,`f(x)={(x^(2), "for" 0 le x lt1),(sqrtx, "for" 1le x le 2):}`
Evaluate `int_(0)^(2) f(x) d x `.

Text Solution

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The correct Answer is:
`=-(1)/(3)+(4sqrt2)/(3)-(2)/(3)=(4sqrt2)/(3)-(1)/(3)=(1)/(3)(4sqrt2-1)`
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