Chapter 6.3, Problem 64E

Uploads to YouTube Since YouTube first became available to the public in mid-2005, the rate at which video has been uploaded to the site can be approximated by

$v\left(t\right)=1.1t^2-2.6t+2.3$ million hours of video per year $\left(0\le t\le 9\right)$, where t is time in year since June 2005.³⁹ Estimate ${\displaystyle {\int }_2^{9}v\left(t\right)}dt$ using a Riemann sum with $n=150$. (Round your answer to the nearest whole number.) Interpret the answer. [Hint: See Example 5.]