Evaluate int (dx)/((x-3)^(3)sqrt(x^(2)-...

Evaluate `int (dx)/((x-3)^(3)sqrt(x^(2)-6x+10))`.

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The correct Answer is:

`1/2[log|(1+sqrt(x^(2)-6x+10))/(-1+sqrt(x^(2)-6x+10))|-(sqrt(x^(2)-6x+10))/(|x-3|^(2))]+C`

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