Regla de Barrow

2009 CGE

A = Point(xAxis)
C = Point(xAxis)
a = Ray(A, C)
B = Point(a)
intervals = 1 (slider from 1 to 50, step 1)
f(x) = -1.0 * x^(2.0) + 9.0
S_s = UpperSum(f, x(A), x(B), intervals)
I = Integral(f, x(A), x(B))
S_i = LowerSum(f, x(A), x(B), intervals)
T1: "a = " + (x(A))
T2: "b = " + (x(B))
T3: "Suma superior = " + S_s
T4: "Integral = " + I
T5: "Suma inferior = " + S_i
F = Integral(f)
T6: " \int_{ " + (x(A)) + "}^{" + (x(B)) + " }  {" + f + "dx = F\left( " + (x(B)) + " \right) - F\left( " + (x(A)) + " \right)} =" + (F(x(B))) + " -( " + (F(x(A))) + ")  = " + (F(x(B)) - F(x(A)))
b = false
c = false
d = false
D: (x(B), F(x(B)))
e = Segment(D, (x(D), 0.0))
g = Segment(D, (0.0, y(D)))
text1: "F(B)= " + (F(x(B)))
text2: "F(x)= " + F
h = false
text3: "F(A)= " + (F(x(A)))
E: (x(A), F(x(A)))
i = Segment((x(A), 0.0), E)
j = Segment(E, (0.0, y(E)))
text6: "f(x) = " + f
k = false