Κάτω άθροισμα

Άνω άθροισμα

α , β : Ακρα ορισμού χωρίου

Ολοκλήρωμα I της f απο το α στο β:

β = 2 (slider from -5 to 5, step 0.1)
α = 1 (slider from -5 to 5, step 1)
ν = 6 (slider from 1 to 2000, step 1)
i = false
j_1 = false
f(x) = x^(2)
a_1: x = β
b_1: x = α
A = Intersect(b_1, xAxis)
B = Intersect(a_1, xAxis)
C = Intersect(f, b_1)
D = Intersect(f, a_1)
c_1 = UpperSum(f, x(C), x(D), ν)
d_1 = LowerSum(f, x(A), x(B), ν)
I = Integral(f, x(A), x(B))
κείμενο5: " f(x) = " + f + ""
κείμενο3: "Κάτω άθροισμα=" + d_1 + ""
κείμενο2: "Ανω άθροισμα=" + (LaTeX[c_1]) + ""
Γ = Intersect(f, a_1, 1)
a = false
h(x) = 0
c = 0 (slider from -5 to 5, step 0.05)
Α = Intersect(f, b_1, 1)
κείμενο1: "I=\int_{" + (LaTeX[α]) + "}^{" + (LaTeX[β]) + "}{f(x)dx }=" + (LaTeX[I]) + ""