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Contour plot implicit equation with conditions?

I want to contour plot x versus T but don't know how to plot it. Appreciate your help.

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POSTED BY: Jake Chen
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Welcome to Wolfram Community! Please make sure you know the rules: https://wolfr.am/READ-1ST

The rules explain how to format your code properly. If you do not format code, it may become corrupted and useless to other members. Please EDIT your post and make sure code blocks start on a new paragraph and look framed and colored like this.

int = Integrate[1/(x^3 - 1), x];
Map[Framed, int, Infinity]

enter image description here

POSTED BY: EDITORIAL BOARD

can you calculate x for a specific value of T?

POSTED BY: Frank Kampas

Sure, I can calculate the x for every T, but how to correlate all this equation and plot it?

POSTED BY: Jake Chen
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