b

a

c

Rectángulo

\text{Sea\displaystyle f:[a,b]\to\mathbb {R} una función continua en [a,b]. \Entonces existe un valor c\in[a,b] tal que\​
\displaystyle\int_a^b f(x)\,dx=f(c)(b - a)}

\text{Teorema}

f(c)

f(x) = sin(x)
B = Point(xAxis)
i = OrthogonalLine(B, xAxis)
D = Intersect(f, i, 1)
A = Point(xAxis)
h = OrthogonalLine(A, xAxis)
C_1 = Intersect(f, h, 1)
g = Integral(f)
F = Intersect(g, h, (0.5681219988239998, -0.8429129195437273))
dAF: y(F)
E = Intersect(g, i, (2.3556639263975567, 0.7067315164224532))
dBE: y(E)
barrow: dBE - dAF
vint = Integral(f, x(A), x(B))
c_1 = 0
C = Point(f)
j = OrthogonalLine(C, h)
H = Intersect(h, j)
I = Intersect(i, j)
polígono1, h_1, a, b, i_1 = Polygon(H, A, B, I)
texto1: "Área\ rectángulo=" + (LaTeX[polígono1]) + ""
P: (x(C), 0)
c = false
Q: (0, y(C))