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Integrate the functions1/(xsqrt(a x-x^2)...

Integrate the functions`1/(xsqrt(a x-x^2))`

Text Solution

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Let `I=1/(xsqrt(a x-x^2))`
Put `x=1/t` then, `dx=-dt/(t^2)`
`=-int1/(t^2*1/tsqrt((a/t)-(1/(t^2)))`
`=-int1/(sqrt(at-1))`
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