$\"\"$

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 $\"\"$ .

$\"\"$

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \