5k views

Lower and upper Riemann sums

I am trying to create a few images for educational purposes. Therefore I need to be able to illustrate the area under various functions, using lower and upper riemann sums (rectangles) Reason for not ...
3k views

Tikz-PGF: Draw integral test plot

So I'm doing a report on convergence tests in LaTeX, and would like to produce a diagram demonstrating the integral test for convergence. I am somewhat new to LaTeX, and a total n00b when it comes to ...
2k views

Timing and integration with TikZ PGFlots

How do I set intervals or integration with TikZ PGFlots? Something similar to the figure below, but I want to define the function, the intervals of integration and the partitions. \documentclass{...
853 views

Riemann Sum Conundrum

The following approach to Riemann Sums first draws an arbitrary curve (which may later be tweaked), then forms rectangles based upon intersections. Unfortunately, the filled rectangles hide portions ...
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Riemann sum with pgfplots — can't seem to make graph look right

I'm trying to reproduce something like this with the function x^-1, but no matter what options I try, I can't seem to make the graph look correct. This is my current code: \documentclass[border=5mm]{...
988 views

Rectangular Approximation Method (Riemann Sums) Diagrams

Does anyone know how to make relatively simple diagrams like the images below? Is there a some sort of "template" I could use perhaps? I'd like to code my Calculus notes but I'm not sure how to make ...
1k views

Riemann sum plot

I have a tikz-pgf-question. I'd like to draw an arbitrary Riemann sum for simple function to illustrate the definition of \int_{a}^{b} f(x) dx. My MWE is here \documentclass{article} \usepackage{...
669 views

Riemann sum graph

What I'm trying to do is plot a function (defined using \newcommand{\f}[1]{expression}) using pgfplots Then draw N+1 lines. Each going from (axis cs: x,0) to (axis cs: x,f(x)), where x is in (0,1/N,2/...