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13 Nov 2019
MATH 211 Learning Activity- Definite Integral Fall 2017 5 Use the definition of the definite integral to compute 壋+1) dz using a right Riemann sum. n be the number of subintervals into which the interval (0, 2] is to be divided. State As the width of each subinterval in terms of n. (b) Find an expression for the right endpoint of the k-th su binterval, (e) Find an expression for the height of the k-th rectangle at the right endpolnt of the k-th subin- terval. (Note that the expression should be in terms of k and n) (d) Find an expression for the area of the k-th rectangle. (Agaln, the expression should be in terms of k and n.) (o) Use the result of Part d to find a formula for the sum of the areas of the n recetangles. State your final answer in terms of n only ([) Find the exact value of the definite integral1)dr by taking a limit.
MATH 211 Learning Activity- Definite Integral Fall 2017 5 Use the definition of the definite integral to compute 壋+1) dz using a right Riemann sum. n be the number of subintervals into which the interval (0, 2] is to be divided. State As the width of each subinterval in terms of n. (b) Find an expression for the right endpoint of the k-th su binterval, (e) Find an expression for the height of the k-th rectangle at the right endpolnt of the k-th subin- terval. (Note that the expression should be in terms of k and n) (d) Find an expression for the area of the k-th rectangle. (Agaln, the expression should be in terms of k and n.) (o) Use the result of Part d to find a formula for the sum of the areas of the n recetangles. State your final answer in terms of n only ([) Find the exact value of the definite integral1)dr by taking a limit.
Reid WolffLv2
16 Oct 2019