#definiteintegral
Live, measured metrics for the hashtag #definiteintegral from the open social web. Every number carries a named source and the time it was fetched. Nothing is estimated.
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Day-by-day usage
measured · mas.to (Mastodon public tags API) · fetched 2026-11-09 01:57 UTC0 uses by 0 unique accounts across the window. Real per-day counts, not estimates. Newest bar is today so far.
Related hashtags
measured · mas.to (Mastodon public search API) · fetched 2026-11-09 01:57 UTCNo related tags with measured usage found for #definiteintegral.
Live pulse
measured · mas.to (Mastodon tag timeline) · fetched 2026-11-09 01:57 UTCEverything below is measured over the latest 3 public posts (spanning ~13613 hours).
Posting hours (UTC)
Languages: English (3)
Avg boosts / post: 1
Top of the latest posts
An excellent general result. If \(\Re(s)>1\), \[\displaystyle\int_0^\infty\frac{\ln x}{x^s+1}~\mathrm dx=\frac{\pi^2}{4s^2}\left[\sec^2\left(\frac{\pi}{2s}\right)-\csc^2\left(\frac{\pi}{2s}\right)\right]\] Special cases: \[\displaystyle\int
How to prove this?!🤔 \[\displaystyle\int_\tfrac{1}{2}^1\dfrac{\psi(x)}{1+\Gamma^2(x)}dx=\dfrac{1}{2}\ln\left(\dfrac{1+\pi}{2\pi}\right)\] where \(\Gamma(x)\) and \(\psi(x)\) are the gamma and digamma functions respectively. #Integral #defi
SOME EXOTIC INTEGRALS: \[\displaystyle\int_0^1\dfrac{dx}{x^x}=\sum_{k=1}^\infty\dfrac{1}{k^k}\] \[\displaystyle\int_0^1x^x\ dx=\sum_{k=1}^\infty\dfrac{(-1)^{k-1}}{k^k}\] \[\displaystyle\int_0^1x^{x^2}\ dx=\sum_{k=1}^\infty\dfrac{(-1)^{k-1}}
#definiteintegral across platforms
every network with a public tag surfaceFollow #definiteintegral straight to each platform’s own tag page. Where a platform publishes open data we measure it above; the rest lock their numbers behind paid APIs, so we link rather than guess.
Every number above is measured from a named public API at the shown fetch time. Nothing is estimated or extrapolated. Platforms that lock their data behind paid APIs are not shown. Agents: the same numbers, as JSON, at /api/hashtags/definiteintegral