Animation 1

Stop

Réinitialiser

f(x)

dx

Animation 2

Stop

Réinitialiser

Notation

Rectangles inférieurs

Rectangles supérieurs

Intégrale

k=

u=

f(x)=

x_{min}=

x_{max}=

Intégrale et aire

x_{max} = 1
x_{min}:0
n = 4 (slider from 1 to 100, step 1)
f(x) = 1 / (1 + x^(2))
b = UpperSum(f, x_{min}, x_{max}, n)
k = 0.6 (slider from x_{min} to x_{max}, step 0.008)
A: (k, f(k))
B: (k, 0)
d = Segment(B, A)
e = false
g = false
h = false
t = false
x1: x_{min} - (2 / 20 * {x_{max} - x_{min}})
x2: x_{max} + (2 / 20 * {x_{max} - x_{min}})
C = Max(f, x_{min}, x_{max})
D = Min(f, x_{min}, x_{max})
ChampTexte1 = Textfield(k)
t_1 = 0 (slider from 0 to 1, step 0.01)
i = false
a = LowerSum(f, x_{min}, x_{max}, n)
j = false
l = false
texte3: "\int_" + (LaTeX[x_{min}]) + "^" + (LaTeX[x_{max}]) + "" + (LaTeX[f]) + " dx "
liste1 = Sequence(Segment[(k + i, 0), (k + i, f(k + i))], i, 0, t_1, (1 / 300 * (x_{max} - x_{min})))
ChampTexte2 = Textfield(f)
ChampTexte3 = Textfield(x_{min})
ChampTexte4 = Textfield(x_{max})
m = Integral(f, x_{min}, x_{max})
texte6: "≈ " + (LaTeX[m]) + " "
o = false
c = Integral(f, x_{min}, x_{max})
texte5: "u_{" + n + "} = " + a + ""
texte4: "v_{" + n + "} = " + b + ""