To determine

To make:

A table of thevalues of the right Riemann sums Rn for the integral ∫0πsin⁡x dx  with n=5, 10, 50 and 100  then concludeto which value it appears to be approaching.

Answer

2

Explanation

1) Concept:

Use acalculator or a computer to make a table of values of right Riemann sums Rn  for the integral ∫0πsin⁡x dx  with n=5, 10, 50 and 100.

2) Given:

∫0πsin⁡x dx 

and n=5, 10, 50 and 100

3) Calculation:

By using the program in the solution to exercise 4.1.9 with

y=sin⁡x, X min=0, X max= π and different values of n=5, 10, 50 and 100 create a table of values.

So, the table of values of  Rn is