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Evaluate: int x/(sqrt(7x-10-x^2))\ dx...

Evaluate: `int x/(sqrt(7x-10-x^2))\ dx`

Text Solution

Verified by Experts

Here, `7 x-10-x^{2}=-(x^{2}-7 x+10)`
` =-(x-2)(x-5) `
` =(x-2)(5-x),` so we can apply Euler third substitution, i.e.
` sqrt{(7 x-10-x^{2})=(x-2) t} `
` sqrt{(}-(x-2)(x-5))=(x-2) t `
` ...
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