Consider the integral

${\displaystyle \underset{0}{\overset{2}{}}}\frac{sin(t)}{t}dt$

Integral of Sinc$(x)$ between $0$ and $$2$ pi$$.$

Compute the Right Riemann sum with $2$ terms $R_2$ for this integral. Explain.

Compute the Right Riemann sum with $8$ terms $R_8$ for this integral. Explain.

Based on the previous parts, what are the conditions for a continuous function $f(x)$ over an interval $(a,b)$ so tha ${\displaystyle \underset{a}{\overset{b}{}}}f(x)dx>R_n$

for all $n1?$