Evaluate:(i) `int_0^(pi//6)(2+3x^2)dx`

Explanation

To evaluate the integral \(\int_0^{\frac{\pi}{6}} (2 + 3x^2) \, dx\), we will follow these steps:

### Step 1: Split the Integral
We can split the integral into two separate integrals:
\[ \int_0^{\frac{\pi}{6}} (2 + 3x^2) \, dx = \int_0^{\frac{\pi}{6}} 2 \, dx + \int_0^{\frac{\pi}{6}} 3x^2 \, dx \]

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