Question: Evaluate the following integrals.

(i) \(\int{\frac{{{x}^{2}}}{\sqrt{1+{{x}^{3}}}}dx}\)

(ii) \(\int{\frac{x-2}{{{\left( {{x}^{2}}-4x+4 \right)}^{2}}}dx}\)

(iii) \(\int{\frac{1}{\sqrt{x}}\sin \left( \sqrt{x} \right)dx}\)