Δt=%v

f(x)=

x(0)

x(t_0)=

↑

↓

+

-

$ \frac{\text{d}x}{\text{d} t}= $

Δt=

t_{f}=

t_0=

t0 = 0
a: x = t0
dt = 1
f(t) = t
fiter(x) = x + dt * f(x)
x0 = 1
centery = 23.4107610012104
n = 10
height = 30.517578125
inputBox1 = Textfield(f)
X_{0} = Point(a)
inputBox2 = Textfield(x0)
miny: centery - height
maxy: centery + height
maxn = 10000
inputBox3 = Textfield(dt)
tfinal = 10
inputBox4 = Textfield(tfinal)
inputBox5 = Textfield(t0)
text2: "$ n_{\text{iter}}=" + (LaTeX[n]) + " $"
minx: t0 - (tfinal - t0) * 0.05
maxx: tfinal + (tfinal - t0) * 0.02
text4: "$ x(" + (LaTeX[t0]) + ") $"
fvals = Sequence(f(i), i, t0, tfinal, dt)
c: Sum[fvals] * dt
cumsum: Sequence[Sum[fvals, i], i, 0, n] * dt
fint0 = Integral(f)
feest = Sequence((t0 + dt * i, x0 + Element[cumsum, i + 1]), i, 0, n)
details = true
d = PolyLine(feest)
exact = false
fint = If(t0 < x < tfinal, fint0(x) - fint0(t0) + x0)