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How can I visualize ?
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How can I visualize ?
I'm not asking about the proof that I already understand. I'm longing to understand this graphically. As you can see, I added
I can ask this as a separate question, but I feel that the underlying difficulty is the same. How can I visualize how Formula 8 shifts to Formula 9 below?
James Stewart, Calculus 7th ed 2011. Not Early Transcendentals. p. 443 for the first image.

You should endeavor to put as much of your question as possible in the form of text/MathJax. This makes the question more accessible, e.g. to those using screen readers or who have custom fonts/text size such as for dyslexia or because they have difficulty reading small text. It also makes the question easier for search engines to index. As a bonus reason, I use a dark mode extension, but your question asks me to strain my eyes staring at blazing white boxes to figure out what you're asking.
More specifically to your question, I have no idea what you are trying to communicate with the first image. As far as I can tell, you've simply added the text "
@DerekElkins "doesn't simply plotting
I did not say that you needed to "render pictures as text/MathJax", I said to put as much of your question as possible in the form of text/MathJax. There is absolutely no reason for the second image. The relevant content of your second image is simply the equations 8 and 9 which you can easily render with MathJax. It would even be clearer (even ignoring the several issues I mentioned) as it wouldn't be cluttered with irrelevant information with the equations in weird locations.

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