Teil2

\frac{1}{6}

\frac{1}{6
}

\frac{1}{6}

\frac{1}{6}

\;\frac{2}{3}\;

f(x)=x^2

 \int_0^b x^2 dx=\frac{1}{3}b^3

b

\frac{1}{3}

\;\frac{2}{3}\;

g

a: 1 / 4
f(x) = (a * x^(2))
A: (3, f(3))
B: (-3, f(-3))
g(x) = y(A)
A': (3, 0)
B': (-3, 0)
b = IntegralBetween(g, f, 0, 3)
c = Integral(f, 0, 3)
h(x) = (1 / 3 * x)
p(x) = f(x) + h(x)
i = OrthogonalLine(A', xAxis)
j = OrthogonalLine(B', xAxis)
C = Intersect(p, i)
D = Intersect(p, j)
k = Segment(D, C)
k
d = IntegralBetween(k, p, -3, 3)
e = IntegralBetween(p, h, -3, 3)
E = Intersect(h, i)
O: (0, 0)
α = Angle(A', O, E)
l = Integral(f, -3, 0)
m = IntegralBetween(g, f, -3, 0)
n = true
q = Segment(B, A)