#14 2011 MIT Integration Bee Qualifying Exam

Screen Recording 2024-02-22 at 10.18.05 PM

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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx

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logic Idempotent law show x=xVx

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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

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Pantun Melayu [Buah cempedak di luar pagar]

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Pantun Melayu [Sorong papan tarik papan]

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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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#16 2011 MIT Integration Bee Qualifying Exam

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#18 2023 MIT Integration Bee Qualifying Exam

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#13 2011 MIT Integration Bee Qualifying Exam

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#2 2011 MIT Integration Bee Qualifying Exam

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#2 2023 MIT Integration Bee Qualifying Exam

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#9 2023 MIT Integration Bee Qualifying Exam

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#2 2012 MIT Integration Bee Qualifying Exam

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2nd way: derivative y^2=4a(x+a sin(x/a))

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Screen Recording 2024-02-22 at 10.13.28 PM

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#14 2011 MIT Integration Bee Qualifying Exam

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Screen Recording 2024-02-22 at 10.09.39 PM

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2nd way: derivative (x/a)^n/(n-1) + (y/b)^n/(n-1) = 1

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