$[-/3$ Points$]$

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SCALCET$97\mathrm{.}7\mathrm{.}013.$

Use the trapezoidal rule, the midpoint rule, and Simpson's rule to approximate the given integral with the specified value of $n.($Round your answers to six decimal places.$)$

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${\displaystyle \underset{0}{\overset{4}{}}}\sqrt[\phantom{2}]{y}cos(y)dy,n=8$

$($a$)$ the trapezoidal rule

$($b$)$ the midpoint rule

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$($c$)$ Simpson's rule

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$4.[-/3$ Points$]$ SCALCET$97\mathrm{.}7\mathrm{.}017.$

Use the trapezoidal rule, the midpoint rule, and Simpson's rule to approximate the given integral with the specified value of $n.($Round your answers to six decimal places.$)$

${\displaystyle \underset{0}{\overset{4}{}}}ln(6e^x)dx,n=8$

$($a$)$ the trapezoidal rule

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$($b$)$ the midpoint rule

$($c$)$ Simpson's rule

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Need Help? $$Solutions for both question