IN$-$RIE For the function $f(x)=\sqrt[\phantom{2}]{x}+1$ on the interval $0,8,$ shown to the right:

$($a$)$ Draw the picture for the Riemann Sum with $n=4$ rectangles using the right$-$endpoint rule.

$($b$)$ Calculate this Riemann Sum $($you do not have to evaluate roots of non$-$perfect$-$squares$).$

IN$-$FTC$1$ Let $F(x)={\displaystyle \underset{a}{\overset{x}{}}}{t}^{2}tan(t)dt$ where $a$ is any constant. Let $G(x)=F(sin(x)).$ Determine both $\frac{dF}{dx}$ and $\frac{dG}{dx}.$

IN$-$RIE For the function $f(x)=\sqrt[\phantom{2}]{x}+1$ on the interval $0,8,$ shown to the right:

$($a$)$ Draw the picture for the Riemann Sum with $n=4$ rectangles using the right$-$endpoint rule.

$($b$)$ Calculate this Riemann Sum $($you do not have to evaluate roots of non$-$perfect$-$squares$).$

Kariables are case senoitive