Legenda oculta: left parenthesis, "b" , "f" left parenthesis, "b" , right parenthesis , right parenthesisb,fb
Legenda
equals=
left parenthesis, 6.2 8 , negative 0.0 0 9 5 5 5 8 7 , right parenthesis6.28,−0.00955587
14
drag me! left parenthesis, StartFraction, "n" Over "b" minus "a" , EndFraction minus 4 , 3 , right parenthesisnb−a−4,3
Legenda:
equals=
left parenthesis, negative 2.2 5 1 1 9 2 3 7 , 3 , right parenthesis−2.25119237,3
15
Approximation: ${A_prox} left parenthesis, 2 , 4 , right parenthesis2,4
Legenda:
16
Exact value: ${A_exact} left parenthesis, 2 , 5 , right parenthesis2,5
Legenda:
17
Number of lines: ${n} left parenthesis, 2 , 6 , right parenthesis2,6
Legenda:
18
Expressão 19: "f" left parenthesis, "x" , right parenthesis equals sine left parenthesis, "x" , right parenthesis plus sine left parenthesis, 2 "x" , right parenthesisfx=sinx+sin2x
19
The exact length of the curve
20
Expressão 21: "A" Subscript, "e" "x" "a" "c" "t" , Baseline equals Start integral from "a" to "b" , end integral, StartRoot, 1 plus "f" prime left parenthesis, "x" , right parenthesis squared , EndRoot "d" "x"Aexact=∫ba1+f′x2dx
equals=
11.1 0 2 7 8 1 5 6 5 111.1027815651
21
The sum of all the lines we drew. Roughly, the more lines, the more precise
22
Expressão 23: "A" Subscript, "p" "r" "o" "x" , Baseline equals total left parenthesis, StartRoot, left parenthesis, "p" minus left parenthesis, "p" plus "d" Subscript, "x" , Baseline , right parenthesis , right parenthesis squared plus left parenthesis, "f" left parenthesis, "p" , right parenthesis minus "f" left parenthesis, "p" plus "d" Subscript, "x" , Baseline , right parenthesis , right parenthesis squared , EndRoot , right parenthesisAprox=totalp−p+dx2+fp−fp+dx2
