関数表示

理論値\
\sqrt{15}-1\fallingdotseq2.87

y=\log{(x+\sqrt{x^2-1})}(\sqrt{2}\leqq x\leqq 4)\
における曲線の長さ

s = 0 (slider from 0 to 10, step 0.1)
a = 1.4142135623730951 (slider from sqrt(2) to 4, step 0.1)
f: y = log(x + sqrt(x^(2) - 1))
g: x = sqrt(2)
t: (1 / 2)^(s)
h: x = 4
l2 = Sequence((i, f(i)), i, sqrt(2), 4, t)
l3 = Sequence((i + t, f(i)), i, sqrt(2), 4, t)
l4 = Sequence((i + t, f(i + t)), i, sqrt(2), 4, t)
l5 = Sequence(Segment[Element[l2, i], Element[l3, i]], i, 1, Length[l2])
l1 = Sequence(Segment[Element[l3, i], Element[l4, i]], i, 1, Length[l3])
l6 = Sequence(Segment[Element[l2, i], Element[l4, i]], i, 1, Length[l2])
b = true
c = Sum(l6)
A: (sqrt(15) - 1, 0)
B: (c, 0)
u = Vector((x(A), 1), A)
v = Vector((x(B), -1), B)
text2: "実測値\\" + (LaTeX[c]) + ""