\"\"

\

The integral is \"\".

\

Number of sub intervals are \"\" and \"\".

\

Determine the right Riemann sums using the graphing utility.

\

Consider the number of subintervals are \"\".

\

Graph :

\

Graph the right Riemann sum for \"\":

\

\"\"

\

Observe the graph:

\

Right Riemann sum for \"\" with \"\" is \"\".

\

\"\"

\

Consider the number of subintervals are \"\".

\

Graph :

\

Graph of the right Riemann sum for \"\":

\

\"\"

\

Observe the graph.

\

Right Riemann sum for \"\" with \"\" is \"\".

\

\"\"

\

Consider the number of subintervals are \"\".

\

Graph :

\

Graph of the right Riemann sum for \"\":

\

\"\"

\

Observe the graph.

\

Right Riemann sum for \"\" with \"\" is \"\".

\

\"\"

\

Consider the number of subintervals are \"\".

\

Graph :

\

Graph of the right Riemann sum when  number of subintervals \"\":

\

\"\"

\

Observe the graph.

\

Right Riemann sum for \"\" with \"\" is \"\".

\

\"\"

\

Tabulate the results.

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
\"\"\"\"
\"\"\"\"
\"\"\"\"
\"\"\"\"
\"\"\"\"
\

From above table results, The values of \"\" appears to be approaching \"\".

\

\"\"

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
\"\"\"\"
\"\"\"\"
\"\"\"\"
\"\"\"\"
\"\"\"\"