The values for Δx_k are:
[tex]\begin{gathered} (2-0)=2 \\ (3-2)=1 \\ (5-3)=2 \end{gathered}[/tex]
So, now we will use the right endpoints of each interval to find the c_k values: 2,3 and 5.
And f(c_k):
[tex]\begin{gathered} 2^2+2=4+2=6 \\ 3^2+2=9+2=11 \\ 5^2+2=25+2=27 \end{gathered}[/tex]
So each term in the Riemann sum is:
[tex]\begin{gathered} (6\times2)=12 \\ (11\times1)=11 \\ (27\times2)=54 \end{gathered}[/tex]
Adding them together:
[tex]V=12+11+54=77[/tex]
The value V is 77.
