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Evaluate: inte^x\ ((x-1)/(2x^2))\ dx...

Evaluate: `inte^x\ ((x-1)/(2x^2))\ dx`

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To evaluate the integral \( I = \int e^x \frac{x - 1}{2x^2} \, dx \), we can follow these steps: ### Step 1: Rewrite the Integrand We start by rewriting the integrand: \[ \frac{x - 1}{2x^2} = \frac{x}{2x^2} - \frac{1}{2x^2} = \frac{1}{2x} - \frac{1}{2x^2} \] Thus, we can express the integral as: ...
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