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(x)/(e^(x^(2)))...

`(x)/(e^(x^(2)))`

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To solve the integral \( I = \int \frac{x}{e^{x^2}} \, dx \), we will use substitution. Here’s a step-by-step solution: ### Step 1: Substitution Let \( t = x^2 \). Then, differentiating both sides gives: \[ dt = 2x \, dx \quad \Rightarrow \quad x \, dx = \frac{dt}{2} \] ...
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