Question: (a) Using summation notation, write the right-hand Riemann sum with n subdivisions for 0∫Π sin xdx.
(b) Use a computer algebra system to find a formula for the Riemann sum. [Note: Not all computer algebra systems can evaluate this sum.]
(c) Use a computer algebra system to evaluate the limit of the sum as n approaches infinity.
(d) Confirm your answer to part (c) by calculating the definite integral with the computer algebra system.