this post was submitted on 17 Jun 2024
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Had to learn it the hard way too many times (lemm.ee)
submitted 4 months ago by jonathanvmv8f@lemm.ee to c/mathmemes@lemmy.blahaj.zone
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cross-posted from: https://lemm.ee/post/34818737

Had to learn it the hard way too many times

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[–] NeatNit@discuss.tchncs.de 16 points 4 months ago* (last edited 4 months ago)

You still have to prove that the integral exists, i.e. that from x=0 to x=∞ the integral is some number (not ∞ and not indeterminate). So it's not a total waste of time.

Edit: oh, the limits aren't ±∞ so if the function has no vertical asymptote in the range, it's a given.