Evaluate the integrals`int_0^1x/(x^2+1)dx`

Explanation

To evaluate the integral \(\int_0^1 \frac{x}{x^2 + 1} \, dx\), we can use substitution. Here are the steps:

### Step 1: Choose a substitution
Let \( t = x^2 + 1 \). Then, we differentiate to find \( dt \):
\[ dt = 2x \, dx \quad \Rightarrow \quad x \, dx = \frac{1}{2} dt \]

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