How to Fill Area between y-axis and the curve $x^{2}$ correctly?

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1

Hi all,

I want to recreate this plot.
Capture d’écran_2022-12-08_16-16-13

My code currently create this far away from the desired plot:

using Plots, LaTeXStrings, Plots.PlotMeasures
gr()

f(x) = x^(2)

plot(f, ylims= (0,33), xlims=(-2,10), framestyle=:zerolines,
	legend=:outerright, bottom_margin=5mm, 
	label=L"f(x) = x^{2}", 
	size=(720, 360), tickfontsize=10)

plot!(f,3,5, label=L"B_{n}", fill=(0, 0.45, :green))
plot!(f, 0,4.5, 
	fillrange = 20, fillalpha = 0.35, c = 1, 
	label = L"A_{n}")

Capture d’écran_2022-12-08_16-16-57
Capture d’écran_2022-12-08_16-16-57948×545 19.1 KB

2

The tricky part is this:

using Plots, LaTeXStrings, Plots.PlotMeasures
gr()

f(x) = x^(2)

plot(f, ylims= (0,33), xlims=(-2,10), framestyle=:zerolines,
	legend=:outerright, bottom_margin=5mm, 
	label=L"f(x) = x^{2}", 
	size=(720, 360), tickfontsize=10)

plot!(f,3,5, label=L"B_{n}", fill=(0, 0.45, :green))
plot!(f, 3,5, 
	fillrange = f(5), fillalpha = 0.35, c = 1, 
	label = L"A_{n}")
plot!([0, 3], [f(3), f(3)], fillalpha = 0.35, c = 1, label = "", linewidth = 0, fillrange = f(5))
1 Like
3

Thanks @BeastyBlacksmith you are the best! So the last line is to fill a rectangle, that shall do the tricks.