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

Explanation

To evaluate the integral \( I = \int_0^1 \frac{2x + 3}{5x^2 + 1} \, dx \), we can separate the integral into two parts:

\[ I = \int_0^1 \frac{2x}{5x^2 + 1} \, dx + \int_0^1 \frac{3}{5x^2 + 1} \, dx \]

Let's denote these two integrals as \( I_1 \) and \( I_2 \):

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