The Most Satisfying Integral
We evaluate the integral from 0 to 1 of 1/(1-x) + 1/ln(x). 00:00 Substitution 02:06 Geometric series 04:00 Adding in another term 07:17 Exchanging orders 09:53 Frullani integrals 13:10 Evaluating 15:59 Conclusion

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A Beautiful Proof of a Beautiful Inequality

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the famous goat problem

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3 Proofs of Vandermonde's Identity

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This trick from Euler was ingenious

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Bigger than Graham's Number? The innocent-looking n(k) function

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The Obsessive Engineering of Precision Linear Motion

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Extending the Riemann Zeta Function with Fractional Sums

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A unique approach to the half-derivative.

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The meme hiding surprisingly advanced math

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This Calculus Problem Looks Impossible

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How Many Real Solutions Problem (Plus a Proof of Descartes' Rule of Signs)

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The Fixed Point Theorem - Numberphile

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A periodically perturbed harmonic series... does it converge???

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How to Apply Feynman Technique Integration

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You Know You're An Engineer If... (Part 2) | Don McMillan Comedy

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Solving the Most Ridiculous Systems of Equations (ft. a cool theorem) #some3

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We can't invent a robot better than these ferrets

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A Fun Golden Ratio Limit

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Another Surprising Integral That Seems Impossible

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