How large should n be to guarantee that the Trapezoidal Rule approximation to $\displaystyle {\int_{{-{{4}}}}^{{-{{2}}}}}{\left(-{x}^{{4}}-{12}{x}^{{3}}-{48}{x}^{{2}}+{3}{x}-{3}\right)}{\left.{d}{x}\right.}$ is accurate to within 0.0001.

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How large should n be to guarantee that the Simpsons Rule approximation to $\displaystyle {\int_{{-{{4}}}}^{{-{{2}}}}}{\left(-{x}^{{4}}-{12}{x}^{{3}}-{48}{x}^{{2}}+{3}{x}-{3}\right)}{\left.{d}{x}\right.}$ is accurate to within 0.0001.

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Hint: Remember your answers should be a whole numbers, and Simpson's Rule requires even values for n