f(x)

b

Randfunktion f(x)

I_a(b)

a =

a

F(x)

Stammfunktion F(x)

b =

Rechnung

Schriftgröße

f'(x)

b

I_a(b)

a =

a

f(x) =

F(x)

b =

f(x) =

b: 1
c = 0 (slider from -5 to 5)
s = false
f(x) = x^(3) - (2 * x) + 1 / 2
a = -2 (slider from -5 to 5)
k = 0.5 (slider from 0 to 1)
Intervall = Segment((0 | 0), (7 | 0))
X: (b | 0)
t: x(X)
I = Integral(f, a, b)
Eingabefeld1 = Textfield(a)
I0 = Integral(f, 0, a)
A: (a | 0)
c_{1} = 0
c_{2} = 0
c_{3} = 0
F(x) = Integral[f] + c
Text6: "F(x) = " + (LaTeX[F]) + " "
d = true
Eingabefeld3 = Textfield(b)
Fb: F(b)
Fa: F(a)
g = false
h = 1 (slider from 0 to 1, step 1)
f_{1}(x) = f(x)
X_{1}: (b | 0)
I_{1} = Integral(f_{1}, a, b)
Eingabefeld1_{1} = Textfield(a)
A_{1}: (a | 0)
Eingabefeld2_{1} = Textfield(f_{1})
c_{4} = 0
F_{1}(x) = Integral[f_{1}] + c
Eingabefeld3_{1} = Textfield(b)
Fb_{1}: F_{1}(b)
Fa_{1}: F_{1}(a)
Text4: "\int\limits_{" + (LaTeX[a]) + "}^{" + (LaTeX[b]) + "} \underbrace{\left( " + (LaTeX[f]) + "  \right)}_{f(x)} dx = \left[ \underbrace{ " + (LaTeX[F]) + " }_{F(x)} \right]_{" + (LaTeX[a]) + "}^{" + (LaTeX[b]) + "} =  \underbrace{ " + (LaTeX[Fb]) + "}_{F(" + (LaTeX[b]) + ")}  -  \underbrace{" + (LaTeX[Fa]) + "}_{F(" + (LaTeX[a]) + ")}  =  \underbrace{" + (LaTeX[I]) + "}_{I_{" + (LaTeX[a]) + "}(" + (LaTeX[b]) + ")}"
Text5: "\int\limits_{" + (LaTeX[a]) + "}^{" + (LaTeX[b]) + "} \underbrace{\left( " + (LaTeX[f_{1}]) + "  \right)}_{f(x)} dx = \left[ \underbrace{ " + (LaTeX[F_{1}]) + " }_{F(x)} \right]_{" + (LaTeX[a]) + "}^{" + (LaTeX[b]) + "} =  \underbrace{ " + (LaTeX[Fb_{1}]) + "}_{F(" + (LaTeX[b]) + ")}  -  \underbrace{" + (LaTeX[Fa_{1}]) + "}_{F(" + (LaTeX[a]) + ")}  =  \underbrace{" + (LaTeX[I_{1}]) + "}_{I_{" + (LaTeX[a]) + "}(" + (LaTeX[b]) + ")}"
Eingabefeld4 = Textfield(f)
c_{5} = 0