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

Evaluate: `int(sqrt(a)-sqrt(x))/(1-sqrt(a x))\ dx`

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I= `int(sqrt(a)-sqrt(x))/(1-sqrt(a x))\ dx`
`I=1/(sqrt(a))int((a)-sqrt(ax))/(1-sqrt(a x))\ dx`
`I=1/(sqrt(a))int((a)-1+1-sqrt(ax))/(1-sqrt(a x))\ dx`
`I=1/(sqrt(a))int((a-1)/(1-sqrt(a x))+(1-sqrt(ax))/(1-sqrt(a x)) )dx`
`I=1/(sqrt(a))int((a-1)/(1-sqrt(a x))+1 dx`
`I=1/(sqrt(a))int((a-1)/(1-sqrt(a x))+int((dx)/(sqrt(a)))`
Put `ax=t^2`
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