Solving an Infinite Sum via Integrals

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In this video, I evaluate an infinite sum of digamma functions using integral representations.

#mathematics #calculus #integration #infinitesum #representation #harmonicnumber #riemannzeta #baselproblem #euler #mascheroni #taylorseries #naturallog #log #radius #convergence #generator #byparts #differentiation #pattern

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Intro: (00:00)
Problem: (00:29)
The sum: (04:38)
Finale: (15:49)
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Can you do this integral?

Integral from 0-∞ Π n=1-∞ [(1+Sech(2^-n)X )/(1+Sec(2^-n)X)]^2^n dx
Where, Π is the product

subhrayanbarman