Uploaded May 2025 | Updated September 2026, 2 weeks ago
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Learn how to evaluate the integral of ln((1+x^11)/(1+x^3))/((1+x^2)*ln(x)) from 0 to infinity. This is a convergent integral but we will use a substitution-property to evaluate.
Previous version: youtube.com/watch?v=A2Z1ojxYIIk
Support this channel and get more content ๐ patreon.com/blackpenredpen
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#blackpenredpen #math #calculus #mathtutorials
Learn math with Brilliant, click brilliant.org/blackpenredpen and get a 30-day free trial plus a 20% off your annual premium subscription.
Learn how to evaluate the integral of ln((1+x^11)/(1+x^3))/((1+x^2)*ln(x)) from 0 to infinity. This is a convergent integral but we will use a substitution-property to evaluate.
Previous version: youtube.com/watch?v=A2Z1ojxYIIk
Support this channel and get more content ๐ patreon.com/blackpenredpen
----------------------------------------
Big thanks to my Patrons for the full-marathon support!
Ben D, Grant S, Mark M, Phillippe S. Michael Z, Jan P. Devun C. Stefan C. Ethan BW Didion S. NN Minkyu Y Brandon F Levon M shortsleeve Jack P Gabriel G Yeeted C David H Mateo F Emma M Eden E Minicat Jose R Nicholas Fey Tyler B Lucas W Ahmet ร An R Camila L Luupo Farrah Batman 1127 Mathguru ะะผะธััะธะน ะ. Michelle L. Alin V. Archer. L Ali. Subotai B. Spencer A. Chris Jason B. Ou S. Nuddi M. Jackson M. Jordan T. Gregorio B. Omkar N. John D. Zero Jeffrey C J D Chaz W. Ryan Turbo S Arcana Rehan M Lukasz M NaiKang W Kevin Y Gamesh K
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๐ Shop my math t-shirt & hoodies: amzn.to/3qBeuw6
----------------------------------------
#blackpenredpen #math #calculus #mathtutorials










