0

2

5

f: y = (1 / 2 * x) + 1
t = 6.6 (slider from -5 to 10, step 0.1)
h = Segment((0, 0), (0, 1))
i = Segment((2, 0), (2, 2))
j = Segment((5, 0), (5, 3.5))
g = Segment((t, 0), (t, (0.5 * t) + 1))
I_0: ((0.5 * (2 + t / 2)) * t)
I_2: ((0.5 * (3 + t / 2)) * (t - 2))
I_5: ((0.5 * (4.5 + t / 2)) * (t - 5))
szöveg1: "$I_0(t)=\frac{t^2}{4}+t=" + (LaTeX[I_0]) + "$"
soxog_0, k, l, m, n = Polygon((0, 0), (0, 1), (t, (0.5 * t) + 1), (t, 0))
soxog_2, p, q, r, s = Polygon((2, 0), (2, 2), (t, (0.5 * t) + 1), (t, 0))
e = 2.8 (slider from -5 to 10, step 0.1)
alap = Segment((e, 0), (e, (0.5 * e) + 1))
E_0: ((0.5 * (2 + e / 2)) * e)
E_2: ((0.5 * (3 + e / 2)) * (e - 2))
E_5: ((0.5 * (4.5 + e / 2)) * (e - 5))
T_0: I_0 - E_0
T_2: I_2 - E_2
T_5: I_5 - E_5
szöveg4: "$T_0(t)=I_0(" + (LaTeX[t]) + ")-I_0(" + (LaTeX[e]) + ")=" + (LaTeX[I_0]) + "-" + (LaTeX[E_0]) + "=" + (LaTeX[T_0]) + "$"
szöveg5: "$T_2(t)=I_2( " + (LaTeX[t]) + ")-I_2(" + (LaTeX[e]) + " )=" + (LaTeX[I_2]) + " - " + (LaTeX[E_2]) + "= " + (LaTeX[T_2]) + "$"
szöveg6: "$T_5(t)=I_5( " + (LaTeX[t]) + ")-I_5(" + (LaTeX[e]) + " )= " + (LaTeX[I_5]) + "- " + (LaTeX[E_5]) + "= " + (LaTeX[T_5]) + "$"
soxog_5, f_1, g_1, h_1, i_1 = Polygon((5, 0), (5, 3.5), (t, (0.5 * t) + 1), (t, 0))
poligon1, a, b, c, d = Polygon((e, 0), (e, (0.5 * e) + 1), (t, (0.5 * t) + 1), (t, 0))
o = true
u = false
v = false
szöveg3: "$I_5(t)=\frac{t^2}{4}+t-11.25=" + (LaTeX[I_5]) + " $"
szöveg2: "$I_2(t)=\frac{t^2}{4}+t-3=" + (LaTeX[I_2]) + "$"