Evaluate: (i) `int{sqrt(x)(a x^2+b x+c)}\ dx` (ii) `int(2-3x)(3+2x)(1-2x)\ dx`

Explanation

Let's evaluate the given integrals step by step.

### (i) Evaluate the integral \( \int \sqrt{x} (a x^2 + b x + c) \, dx \)

1. **Expand the integrand**:
\[ \int \sqrt{x} (a x^2 + b x + c) \, dx = \int (a x^{2.5} + b x^{1.5} + c x^{0.5}) \, dx \]
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