表达式7: "d" Subscript, "x" , Baseline equals StartFraction, "b" minus "a" Over "n" , EndFractiondx=b−an
equals=
0.4 8 3 8 4 6 1 5 3 8 4 60.483846153846
7
The exact length of the curve
8
表达式9: "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
9
The sum of all the lines we drew. Roughly, the more lines, the more precise
10
表达式11: "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
