Inhalte anzeigen

Schnittstellen

g

d = 0.6 (slider from 0 to 2, step 0.1)
c = 0.8 (slider from -5 to 5)
b = 1.2 (slider from -5 to 5)
a = 2.3 (slider from -5 to 5)
g(x) = a
f(x) = (-((d * x) - c)^(4)) + (4 * ((d * x) - c)^(2))
h = Simplify(((b * d) * x) + f(x) - g(x) + 1)
k(x) = (b * ((d * x) - c)) + 1
A, B, C, D = Intersect(k, h)
A1 = IntegralBetween(h, k, x(A), x(B))
A2 = IntegralBetween(h, k, x(C), x(D))
A3 = IntegralBetween(h, k, x(B), x(C))
Inhalt: A1 + A2 - A3
Text2: "\text{Flächeninhalt} = " + (LaTeX[Inhalt]) + ""
e = false
i = Line(D, yAxis)
j = Line(C, yAxis)
l = Line(B, yAxis)
m = Line(A, l)
E = Intersect(m, xAxis)
F = Intersect(l, xAxis)
G = Intersect(j, xAxis)
H = Intersect(i, xAxis)
n = Segment(E, A)
p = Segment(F, B)
q = Segment(G, C)
r = Segment(H, D)
o: x(E)
Text3: "" + o + ""
s: x(F)
t: x(G)
u: x(H)
Text4: "" + s + ""
Text5: "" + t + ""
Text6: "" + u + ""
v = false
gg = Simplify(((-(x(y = ((b * d) * x) + 1 - (b * c)) / y(y = ((b * d) * x) + 1 - (b * c)))) * x) - z(y = ((b * d) * x) + 1 - (b * c)) / y(y = ((b * d) * x) + 1 - (b * c)))
I = Point(k)
Text1: "f(x)=" + (LaTeX[h]) + " \\\\
y=" + (LaTeX[gg]) + ""