2nd/2 ways: MIT Integration Bee Final

Paradoxical Indulgence 悖论纵情

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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logic Idempotent law show x=xVx

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2024 MIT Integration Bee Final

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Why the mean of AP is the median of AP? mean=median?

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4 ways: trig integral ∫tan(x) dx

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UC Davis #1: 2 ways Find the length of the graph for y=3x+2 on the closed interval ...

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1st/2 way: Expand e^sin(x) by Maclaurin's Theorem

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prob stat: Consider the experiment of tossing a fair coin twice & reading the up face on each toss.

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AP Calculus 2nd way: integral ∫ (3^(x+1)-7^(x-1))/21^x dx

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JEE Main integral x^2/(a+bx)^2 dx

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trig integral ∫1/(sin(ax) cos(ax)) dx

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CMU integral ∫1/(x^2 √(16x^2 -19)) dx

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Median [special weighted mean]

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John ने Motu की Genius वाली पोल खोलने की ठानी _ Motu Patlu _ मोटू पतलू

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UC Davis p#12: 2nd way differentiate y=x^(x^(x^4)))

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Screen Recording 2024-05-12 at 8.34.35 PM

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Show integral 1/(x^2(x^2+a^2)) dx = -1/(a^2x) - 1/a^3 arc tan(x/a)

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Lamar U: #11 trig integral ∫csc^6(x/4) cot^4(x/4) dx

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AP Calculus 2nd way trig integral ∫x^2 cos(x) dx

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