Integrál LaTex
Author: PVZs

 \sum_{k=1 }^{n }  \frac{ b-a }{n } \cdot m_k < \int_{a }^{b }f(x)dx <  \sum_{k=1 }^{n }  \frac{ b-a }{n } \cdot M_k

Képletek

f(x) = x^(2.0)
a = -2.3999999999999995 (slider from -10 to 0, step 0.1)
b = 3 (slider from 0 to 10, step 0.1)
n = 4 (slider from 0 to 50, step 1)
AO = LowerSum(f, a, b, n)
FO = UpperSum(f, a, b, n)
I = Integral(f, a, b)
g = Integral(f)
textAO: "Alsóösszeg=" + AO
textFO: "Felsőösszeg=" + FO
textK: "Különbség=" + (FO - AO)
textInt: " \int_{a}^{b} f(x) dx= \int_{" + a + "}^{" + b + "}" + f + "=" + I
textIntF: "\int_{a }^{b }f(x)dx=F(b)-F(a)=\int_{" + a + " }^{" + b + " }" + f + "dx=(" + (g(b)) + ")-(" + (g(a)) + ")=" + I
c = false