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Supreme Integral with Feynman's Trick

blackpenredpen 216,927 7 years ago
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We will do the integral of sin(ln(x))/ln(x) from 0 to 1 by using Feynman's Trick (aka differentiation under the integral sign). This is also closely related to the Dirichlet Integral, which is the integral of sin(x)/x from 0 to inf. For the complex exponential definition of sine 👉https://youtu.be/CjQTWtW_x9o For another integral by Feynman's Technique: 👉 https://youtu.be/2JTyk5CBveI Subscribe for more math for fun videos 👉 https://bit.ly/3o2fMNo 💪 Support this channel, https://www.patreon.com/blackpenredpen 🛍 Shop math t-shirt & hoodies: http://bit.ly/bprpmerch. (10% off with the code "WELCOME10") 🛍 I use these markers: https://amzn.to/3skwj1E #blackpenredpen #calculus

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