Consider the integral

${\displaystyle \underset{0}{\overset{8}{}}}(x^3+5x^2+4x-2)dx$

a$)$ Approximate the definite integral with the Trapezoid Rule and $n=4.$ Use a calculator to round your answer to the third decimal place $($if rounding is needed$).$

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b$)$ Approximate the definite integral with Simpson's Rule and $n=4.$ Use a calculator to round your answer to the third decimal place $($if rounding is needed$).$

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c$)$ Find the exact value of the integral. $($Don$\text{'}$t approximate this one! Give the exact value.$)$

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