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Integrate the functions((x-3)e^x)/((x-1)...

Integrate the functions`((x-3)e^x)/((x-1)^3)`

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To solve the integral \(\int \frac{(x-3)e^x}{(x-1)^3} \, dx\), we will follow these steps: ### Step 1: Rewrite the Numerator We can rewrite \(x - 3\) as \((x - 1) - 2\): \[ x - 3 = (x - 1) - 2 \] Thus, we can express the integral as: ...
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