I couldn't do this integral when I was 3...
We will integrate ln(1-e^x) with a special math function called the polylogarithm function. Subscribe for more math for fun videos 👉 https://bit.ly/3o2fMNo 💪 Support this channel, / blackpenredpen 🛍 Shop math t-shirt & hoodies: http://bit.ly/bprpmerch. (10% off with the code "WELCOME10") 🛍 I use these markers: https://amzn.to/3skwj1E

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The dilogarithm -- a favorite "special function"

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How Euler would integrate sqrt(x^2+1)

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Can sin(x)=i?

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Proof that derivatives and integrals are inverse operators geometrically

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The most classic trick of solving a double integral

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a spectacular solution to 1+1/2^2+1/3^2+... (Basel problem)

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The Gaussian Integral! Integral of e^(-x^2) from 0 to infinity via polar coordinates

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Can You Solve An Interesting Differential Equation?

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the most famous Ramanujan sum 1+2+3+...=-1/12

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Is this triangle possible? A right triangle with sides 1, x, and x^2

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Innocent looking, but ????

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A Neat Property of Logarithmic Spirals

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The math connecting music, astronomy and quantum physics

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A Breathtaking Journey of Integration

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How Laplace solved the Gaussian integral

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Can you solve this system of equations: x+1/y=4 and y+1/x=4

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u substitution: how to choose the "u"

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And this year's Turing Award goes to...

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Integral of ln(x) with Feynman's trick!

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