Reference no: EM131605361

Question: You will write a Riemann sum approximating a definite integral and use a computer algebra system to find a formula for the Riemann sum. By evaluating the limit of this sum as the number of subdivisions approaches infinity, you will obtain the definite integral.

(a) Using summation notation, write the left-hand Riemann sum with n subdivisions for ₁∫² tdt.

b) Use a computer algebra system to find a formula for the Riemann sum.

(c) Evaluate the limit of the sum as n approaches infinity.

(d) Calculate directly the area under the graph of y = t between t = 1 and t = 2, and compare it with your answer to part (c).