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

Integrate the function `((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 can use integration by parts and the properties of exponential functions. Here’s a step-by-step solution: ### Step 1: Rewrite the Integral We start with the integral: \[ \int \frac{(x-3)e^x}{(x-1)^3} \, dx \] We can rewrite the numerator: ...
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