Evaluate the definite integrals`int_0^1(2x+3)/(5x^2+1)dx`

Explanation

To evaluate the definite integral \(\int_0^1 \frac{2x + 3}{5x^2 + 1} \, dx\), we will break it down into manageable steps.

### Step 1: Rewrite the Integral
We can separate the integral into two parts:
\[ \int_0^1 \frac{2x + 3}{5x^2 + 1} \, dx = \int_0^1 \frac{2x}{5x^2 + 1} \, dx + \int_0^1 \frac{3}{5x^2 + 1} \, dx \]

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