- #1
Jhenrique
- 685
- 4
Graphic Interpretation for Ʃf(x)Δx
Hello!
I was trying to understand what means:
[tex]\sum_{x_0}^{x_1}f(x)\Delta x[/tex]
(when Δx = 1 and x ∈ Z, ie, a "discrete integration", topic very comun in discrete calculus).
I computed the result so:
[tex]\sum_{1}^{4}x^2\Delta x=\left [\frac{1}{3}x^3-\frac{1}{2}x^2+\frac{1}{6}x \right ]_{1}^{4}=F(4)-F(1)=14[/tex]
and I sketched the graphic:
However, the Maple computes the result as:
[tex]\sum_{1}^{4}x^2\Delta x=>\sum_{1}^{4}x^2\cdot 1=>\sum_{1}^{4}x^2=30[/tex]
Given a different result of calculated for me. Why?
Hello!
I was trying to understand what means:
[tex]\sum_{x_0}^{x_1}f(x)\Delta x[/tex]
(when Δx = 1 and x ∈ Z, ie, a "discrete integration", topic very comun in discrete calculus).
I computed the result so:
[tex]\sum_{1}^{4}x^2\Delta x=\left [\frac{1}{3}x^3-\frac{1}{2}x^2+\frac{1}{6}x \right ]_{1}^{4}=F(4)-F(1)=14[/tex]
and I sketched the graphic:
However, the Maple computes the result as:
[tex]\sum_{1}^{4}x^2\Delta x=>\sum_{1}^{4}x^2\cdot 1=>\sum_{1}^{4}x^2=30[/tex]
Given a different result of calculated for me. Why?