rectangular approximation method (ram) lram … approximation method (ram) lram (height of rectangle...
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Rectangular Approximation Method (RAM)
LRAM (height of rectangle is determined by the value of the function at the rectangle's LEFT edge)
RRAM (height of rectangle is determined by the value of the function at the rectangle's RIGHT edge)
MRAM (height of rectangle is determined by the value of the function at the MIDPOINT of the rectangle's base)
5.1 Estimating Areas with Sums
Chap5 Page 1
Example 2: Approximate the area enclosed between the graph of and the x-axis for 0 < x < 3 using MRAM and RRAM with 6 subintervals.
Chap5 Page 2
Example 3: Approximate the distance traveled given the following data.
t (sec) v(t) (m/sec)0 010 5020 6530 7540 7550 6560 60
Chap5 Page 3
Trapezoidal RuleThe trapezoidal approximation using n trapezoids is
Simpson's Rule:
5.5 The Trapezoidal Rule and Simpson's Rule
Chap5 Page 1