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Mathematics Mathematica Calculus

Shading the region between two graphs?

Posted 10 years ago

f[x_] := (1/3) x^3 - (1/2) x^2 - 2 x + (1/3) g[x_] := x - 1 This is my graph: Plot[{f[x], g[x]}, {x, -4, 4}] I integrated and fund the regions Integrate[Abs[f[x] - g[x]], {x, -2.5833, 0.42303}] 7.15574 Integrate[Abs[f[x] - g[x]], {x, 0.42303, 3.66027}] 8.71687 Now how do I shade in only those regions? I came up with this but I don't know what to put in the "?" Plot[{f[x], g[x]}, {x, -4, 4}, Filling -> ?, FillingStyle -> Pink]

f[x_] := (1/3) x^3 - (1/2) x^2 - 2 x + (1/3)

g[x_] := x - 1

This is my graph:

Plot[{f[x], g[x]}, {x, -4, 4}]

I integrated and fund the regions

 Integrate[Abs[f[x] - g[x]], {x, -2.5833, 0.42303}]

    7.15574

Integrate[Abs[f[x] - g[x]], {x, 0.42303, 3.66027}]

    8.71687

Now how do I shade in only those regions?

I came up with this but I don't know what to put in the "?"

Plot[{f[x], g[x]}, {x, -4, 4}, Filling -> ?, FillingStyle -> Pink]

POSTED BY: Maddie Long

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Posted 10 years ago

Look at the documentation for Filling under "Scope" :> "Filling Limits". This example shows how to fill from the first function to the second function in the list of inputs: Plot[{Sin[x], Cos[x]}, {x, 0, 2 Pi}, Filling -> {1 -> {2}}]