Integral Exploration

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In this video, I will naturally explore a family of integrals and their resulting analytic continuation.

#integration #mathematics #complexanalysis #variables #parameters #convergence #analyticcontinuation #divergence #improperintegrals #infinity #inversetrigonometryfunctions #arctangent #calculus

#drpeyam #BlackPenRedPen #FlammableMaths #3Blue1Brown #MichaelPenn #KhanAcademy #Tibees #AndrewDotson #SteveMould #VibingMaths #polarpi

Intro: (00:00)
Integral: (01:00)
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yes, i used to explore similar things back in college. but i tried a different approach of using fractional derivatives.
the 1/x function behaves interesting. it's like a bridge between the Polylogarithm and the complex domain.
- i wanted to try applying fractional Laplace next.

kharnakcrux