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Evaluate: int(x-2)\ sqrt(2x^2-6x+5)\ dx...

Evaluate: `int(x-2)\ sqrt(2x^2-6x+5)\ dx`

Text Solution

Verified by Experts

Let ` {I}=int(x-2) sqrt{2 x^{2}-6 x+5} {dx} `
`x-2=lambda frac{d}{d x}(2 x^{2}-6 x+5)+mu `
`Rightarrow x-2=(4 lambda) x+mu-6 lambda`
Equating coefficient
`4 lambda=1 `
`Rightarrow lambda=frac{1}{4}`
And
`mu-6 lambda=-2 `
...
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