Could you give me some guidance for producing a simple graph showing the integral of a function as the area under its curve?
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Try http://tex.stackexchange.com/questions/47532/lower-and-upper-riemann-sums – Benjamin McKay Dec 09 '13 at 11:44
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1Welcome to TeX.SX! There is a number of questions on the topic here; you may want to start having a look to: Lower and upper Riemann sums, Trapezium rule for integration using TikZ, Pgfplots: how to fill the area under a curve with oblique lines (hatching) as a pattern? – Claudio Fiandrino Dec 09 '13 at 11:45
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Another: http://www.texample.net/tikz/examples/parabola-plot/ – Dec 09 '13 at 11:48