Rectangle Riemann Sums

Midpoint Rectangle Riemann Approximation

Left-Endpoint Rectangle Riemann Approximation

Ausdruck 18: 0 greater than or equal to "y" greater than or equal to "f" left parenthesis, "L" , right parenthesis left brace, "L" less than or equal to "x" less than or equal to "R" , right brace left brace, "f" left parenthesis, "L" , right parenthesis less than 0 , right brace

Ausdruck 19: 0 less than or equal to "y" less than or equal to "f" left parenthesis, "L" , right parenthesis left brace, "L" less than or equal to "x" less than or equal to "R" , right brace left brace, "f" left parenthesis, "L" , right parenthesis greater than or equal to 0 , right brace

Ausdruck 20: "x" equals "L" left brace, 0 less than or equal to "y" less than or equal to "f" left parenthesis, "L" , right parenthesis , right brace

Ausdruck 21: "L" Subscript, "e" "f" "t" "E" "n" "d" "p" "t" "A" "p" "p" "r" "o" "x" "i" "m" "a" "t" "i" "o" "n" , Baseline equals total left parenthesis, "f" left parenthesis, "L" , right parenthesis times StartFraction, left parenthesis, "b" minus "a" , right parenthesis Over "N" , EndFraction , right parenthesis

equals

3.7 5

Right-Endpoint Rectangle Riemann Approximation

Magic

Ausdruck 32: "A" Subscript, "c" "t" "u" "a" "l" "V" "a" "l" "u" "e" , Baseline equals Start integral from "a" to "b" , end integral, "f" left parenthesis, "x" , right parenthesis "d" "x"

equals

4.6 6 6 6 6 6 6 6 6 6 7