StandaradAufgabe

Bay-Abi mehrfach

\int_{a}^{x(S)}(k^2-f(x))dx

\text{ Vermutung: Int}=2k^2

k = 2 (slider from 0 to 5, step 0.1)
A = Point(xAxis)
p = OrthogonalLine(A, xAxis)
asy: y = k^(2)
f(x) = (ℯ^(x) - k)^(2)
f'(x) = f'(x)
Min = Intersect(f', xAxis, (0.6931471792822207, 0))
f''(x) = f''(x)
W_x = Intersect(f'', xAxis, (0, 0))
P = Intersect(f, p, (-0.9755193153792219, 2.6341402875666793))
a: -Infinity
S = Intersect(f, asy, (1.3862943598421662, 4))
asy
Int_{Li} = IntegralBetween(asy, f, -100, x(S))
c = IntegralBetween(asy, f, ln(k), ln((2 * k)))