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Evaluate: int((x-1)(x-2)(x-3))/((x-4)(x...

Evaluate: `int((x-1)(x-2)(x-3))/((x-4)(x-5)(x-6))dx`

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Verified by Experts

`I=int frac{(x-1)(x-2)(x-3)}{(x-4)(x-5)(x-6)} d x `

`frac{(x-1)(x-2)(x-3)}{(x-4)(x-5)(x-6)}=frac{A}{x-4}+frac{B}{x-5}+frac{C}{x-6} `

`(x-1)(x-2)(x-3)=A(x-5)(x-6)+B(x-4)(x-6)+C(x-4)(x-5)`

Use `x=5`

`4 times 3 times 2=B(1)(-1)`

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