Consider ${\displaystyle \underset{0}{\overset{10}{}}}{x}^2*g^{\text{'}}(x)dx$ where $g$ has the values in the following table.

$\backslash$table$[[x,0,2,4,6,8,10],[g(x),2\mathrm{.}1,2\mathrm{.}4,3\mathrm{.}5,4\mathrm{.}9,5\mathrm{.}3,6\mathrm{.}2]]$

$($a$)$ Which of the following represents the first step using integration by parts?

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$($b$)$ Approximate the integral. Use the right hand Riemann sum with $n=5$ to approximate the second term in your answer to part $($a$).$

${\displaystyle \underset{0}{\overset{10}{}}}{x}^2*g^{\text{'}}(x)dx$~~

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