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Integrate : int (e^(x)(x-4)dx)/((x-2)^...

Integrate :
`int (e^(x)(x-4)dx)/((x-2)^(3))`

Text Solution

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The correct Answer is:
`=(e^(x))/((x-2)^(2))+2int(e^(x)dx)/((x-2)^(3))-2int(e^(x) dx)/((x-2)^(3))+c=(e^(x))/((x-2)^(2))+C`
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