Expression 30: "x" equals "X" Subscript, "R" , Baseline left brace, 0 less than or equal to "y" less than or equal to "f" left parenthesis, "X" Subscript, "R" , Baseline , right parenthesis , right bracex=XR0≤y≤fXR
30
interiors, tops and bottoms of negative rectangles
31
Expression 32: "f" left parenthesis, "X" Subscript, "R" , Baseline , right parenthesis less than or equal to "y" less than 0 left brace, "X" Subscript, "L" , Baseline less than or equal to "x" less than or equal to "X" Subscript, "R" , Baseline , right bracefXR≤y<0XL≤x≤XR
32
right sides of negative rectangles
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Expression 34: "x" equals "X" Subscript, "R" , Baseline left brace, "f" left parenthesis, "X" Subscript, "R" , Baseline , right parenthesis less than or equal to "y" less than 0 , right bracex=XRfXR≤y<0
34
value of right Riemann sum
35
Expression 36: "S" Subscript, "R" , Baseline equals Start sum from "i" equals 1 to "n" , end sum, "f" left parenthesis, "X" Subscript, "R" , Baseline left bracket, "i" , right bracket , right parenthesis times "d"SR=n∑i=1fXRi·d
36
Value of definite integral
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37
Expression 38: "S" equals Start integral from "a" to "b" , end integral, "f" left parenthesis, "x" , right parenthesis "d" "x"S=∫bafxdx
