163–66. Midpoint Riemann sums with a calculator Consider the following definite integrals. a. Write the midpoint Riemann sum in sigma notation for an arbitrary value of n. b. Evaluate each sum using a calculator with n = 20, 50, and 100. Use these values to estimate the value of the integral. 63. 2Vī dx 64. sin dx 4 -1 -1/2 | (4x – x²) dr sin'x dx 65. 66. 0.
163–66. Midpoint Riemann sums with a calculator Consider the following definite integrals. a. Write the midpoint Riemann sum in sigma notation for an arbitrary value of n. b. Evaluate each sum using a calculator with n = 20, 50, and 100. Use these values to estimate the value of the integral. 63. 2Vī dx 64. sin dx 4 -1 -1/2 | (4x – x²) dr sin'x dx 65. 66. 0.
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Chapter1: Combinatorial Analysis
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Transcribed Image Text:163–66. Midpoint Riemann sums with a calculator Consider the
following definite integrals.
a. Write the midpoint Riemann sum in sigma notation for an arbitrary
value of n.
b. Evaluate each sum using a calculator with n = 20, 50, and 100.
Use these values to estimate the value of the integral.
63.
2Vī dx
64.
sin
dx
4
-1
-1/2
| (4x – x²) dr
sin'x dx
65.
66.
0.
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