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Integrate the functionssqrt((1-sqrt(x))/...

Integrate the functions`sqrt((1-sqrt(x))/(1+sqrt(x)))`

Text Solution

Verified by Experts

let `sqrtx=sint`
thus, we have,
`I=intsqrt((1-sint)/(1+sint))sintcostdt`
`=-2cost-t+sintcost+C`
`=-2sqrt(1-x)+cos^-1sqrtx+sqrtxsqrt(1-x)+C`
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