Question: Evaluate the following definite integrals:

1. \(\int\limits_{0}^{1}{{{t}^{2}}dt}\)
2. \(\int\limits_{-1}^{1}{\left( 2{{y}^{2}}-1 \right)dy}\)
3. \(\int\limits_{1}^{4}{\sqrt{x}dx}\)
4. \(\int\limits_{1}^{2}{{{\left( 3x-1 \right)}^{2}}dx}\)
5. \(\int\limits_{-2}^{-1}{\frac{1}{{{p}^{2}}}dp}\)
6. \(\int\limits_{2}^{3}{v\left( v-2 \right)\left( v+1 \right)dv}\)

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