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Evaluate : int(0)^(a) (1)/(sqrt(a^(2) -x...

Evaluate : `int_(0)^(a) (1)/(sqrt(a^(2) -x^(2))) dx`

Text Solution

Verified by Experts

`int_(0)^(a) (1)/(sqrt(a^(2) -x^(2)) )dx =[ sin^(-1) .(x)/()]_(0)^(a)`
`=sin^(-1) .(a)/(a)-sin^(-1) 0`
` =sin^(-1) 1- 0=(pi)/(2).`
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