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Evaluate: int1/(x(x-2)(x-4))\ dx...

Evaluate: `int1/(x(x-2)(x-4))\ dx`

Text Solution

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

`Rightarrow 1={A}({x}-2)({x}-4)+{Bx}({x}-4)+{Cx}({x}-2)`

Put `{x}=0 Rightarrow 8 {A}=1`

`therefore A=frac{1}{8}`

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