Left Riemann Sum

Uttryck 9: left parenthesis, "a" plus StartFraction, "b" minus "a" Over "n" , EndFraction times floor left parenthesis, "n" "t" , right parenthesis , max left parenthesis, "f" left parenthesis, "a" plus StartFraction, "b" minus "a" Over "n" , EndFraction times floor left parenthesis, "n" "t" , right parenthesis , right parenthesis , "f" left parenthesis, "a" plus StartFraction, "b" minus "a" Over "n" , EndFraction times floor left parenthesis, "n" "t" minus 1 , right parenthesis , right parenthesis , right parenthesis times left parenthesis, "n" "t" minus floor left parenthesis, "n" "t" , right parenthesis , right parenthesis times max left parenthesis, StartFraction, "f" left parenthesis, "a" plus StartNestedFraction, "b" minus "a" NestedOver "n" , EndNestedFraction times floor left parenthesis, "n" "t" , right parenthesis , right parenthesis Over StartAbsoluteValue, "f" left parenthesis, "a" plus StartNestedFraction, "b" minus "a" NestedOver "n" , EndNestedFraction times floor left parenthesis, "n" "t" , right parenthesis , right parenthesis , EndAbsoluteValue , EndFraction , 0 , right parenthesis , right parenthesis

domän t minimum: 0

less than or equal to "t" less than or equal to

domän t maximum: 1

Uttryck 10: left parenthesis, "a" plus StartFraction, "b" minus "a" Over "n" , EndFraction times floor left parenthesis, "n" "t" plus 1 , right parenthesis , min left parenthesis, "f" left parenthesis, "a" plus StartFraction, "b" minus "a" Over "n" , EndFraction times floor left parenthesis, "n" "t" plus 1 , right parenthesis , right parenthesis , "f" left parenthesis, "a" plus StartFraction, "b" minus "a" Over "n" , EndFraction times floor left parenthesis, "n" "t" , right parenthesis , right parenthesis , right parenthesis times left parenthesis, "n" "t" minus floor left parenthesis, "n" "t" , right parenthesis , right parenthesis times negative 1 times min left parenthesis, StartFraction, "f" left parenthesis, "a" plus StartNestedFraction, "b" minus "a" NestedOver "n" , EndNestedFraction times floor left parenthesis, "n" "t" , right parenthesis , right parenthesis Over StartAbsoluteValue, "f" left parenthesis, "a" plus StartNestedFraction, "b" minus "a" NestedOver "n" , EndNestedFraction times floor left parenthesis, "n" "t" , right parenthesis , right parenthesis , EndAbsoluteValue , EndFraction , 0 , right parenthesis , right parenthesis

domän t minimum: 0

less than or equal to "t" less than or equal to

domän t maximum: 1

Uttryck 11: "x" equals "b" left brace, 0 less than or equal to "y" less than or equal to "f" left parenthesis, "b" minus StartFraction, "b" minus "a" Over "n" , EndFraction , right parenthesis , right brace

Uttryck 12: "x" equals "b" left brace, "f" left parenthesis, "b" minus StartFraction, "b" minus "a" Over "n" , EndFraction , right parenthesis less than or equal to "y" less than or equal to 0 , right brace

Uttryck 13: "x" equals "a" left brace, 0 less than or equal to "y" less than or equal to "f" left parenthesis, "a" , right parenthesis , right brace

Uttryck 14: "x" equals "a" left brace, "f" left parenthesis, "a" , right parenthesis less than or equal to "y" less than or equal to 0 , right brace

Uttryck 15: negative 0.8 left brace, 0.5 less than "x" less than 2.5 , right brace

`n=${n}` left parenthesis, StartFraction, "n" Over 100 , EndFraction plus 0.4 9 , negative 0.8 , right parenthesis

Etikett:

equals

left parenthesis, 0.5 9 , negative 0.8 , right parenthesis

`\int_a^b f(x) \ dx \approx ${I}` left parenthesis, 0.8 5 5 , 1.2 , right parenthesis

Etikett:

driven av

"n" equals 10

Start integral from "a" to "b" , end integral, "f" ( "x" ) "d" "x" approximately equal 0.7 7 2 1 2 4 0 7