Expression 9: Start sum from "d" equals 0 to "n" minus 1, end sum, "f" left parenthesis, "a" plus "d" "r" , right parenthesis left parenthesis, StartFraction, left parenthesis, "b" minus "a" , right parenthesis Over "n" , EndFraction , right parenthesisn−1∑d=0fa+drb−an
equals=
3.1 3 2 1 9 6 3 1 0 93.1321963109
9
Expression 10: "r" equals StartFraction, left parenthesis, "b" minus "a" , right parenthesis Over "n" , EndFractionr=b−an
00
domain \theta Minimum:
less than or equal to theta less than or equal to≤θ≤
12 pi12π
domain \theta Maximum:
equals=
0.0 40.04
10
Rectangles
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11
Endpoints
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32
Expression 35: Start sum from "d" equals 0 to "n" minus 1, end sum, "f" left parenthesis, "a" plus "d" "r" , right parenthesis left parenthesis, StartFraction, left parenthesis, "b" minus "a" , right parenthesis Over "n" , EndFraction , right parenthesisn−1∑d=0fa+drb−an
equals=
3.1 3 2 1 9 6 3 1 0 93.1321963109
35
Expression 36: Start sum from "d" equals 1 to "n" , end sum, "f" left parenthesis, "a" plus "d" "r" , right parenthesis left parenthesis, StartFraction, left parenthesis, "b" minus "a" , right parenthesis Over "n" , EndFraction , right parenthesisn∑d=1fa+drb−an
undefined
36
Expression 37: "M" equals Start sum from "d" equals 1 to "n" , end sum, StartFraction, left parenthesis, "b" minus "a" , right parenthesis Over "n" , EndFraction "f" left parenthesis, StartFraction, "a" plus left parenthesis, "d" minus 1 , right parenthesis "r" plus "a" plus "d" "r" Over 2 , EndFraction , right parenthesisM=n∑d=1b−anfa+d−1r+a+dr2
equals=
3.1 4 4 3 4 0 7 1 1 2 93.14434071129
37
Expression 38: StartFraction, left parenthesis, 2 "M" plus "T" , right parenthesis Over 3 , EndFraction2M+T3