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Hello!

I was trying to understand what means:

[tex]\sum_{x_0}^{x_1}f(x)\Delta x[/tex]

(when Î”x = 1 and x âˆˆ 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?

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# Graphic Interpretation for Æ©f(x)Îx

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