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Evaluate : int(1)^(4) (1)/(sqrt(x)) dx...

Evaluate : `int_(1)^(4) (1)/(sqrt(x)) dx`

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Verified by Experts

` int_(0)^(4) (1)/(sqrt(x)) dx = int_(1) ^(4) x^(-1//2) dx = [(x^(1//2))/(1//2)]^(4)`
`=2[sqrt(x)]_(1)^(4) =2 [sqrt(4)-sqrt(1)]`
` =2(2-1) =2`
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