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6 votes

Definite integrals with equal limits

ryang has explained the issue, but I think it might be helpful to students to frame the issue in a more positive light--instead of "you can't use this substitution here", say "here's ...
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2 votes

Definite integrals with equal limits

Your question is similar to the issue raised in this post: Should $\varphi$ be monotone in the integration by substitution? But in your situation, there is a more critical issue in that your new ...
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7 votes
Accepted

Definite integrals with equal limits

How would explain this to students? Explain that checking that conditions are satisfied is part of the process of applying theorems/laws. (Admittedly, though, since integration change of variable is ...
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