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logic Idempotent law show x=xVx
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example Find 1+2+3+...+n via Pick's Theorem
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Pantun Melayu [Buah cempedak di luar pagar]
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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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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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Pantun Melayu [Sorong papan tarik papan]
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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...
UC Davis #10: count prove Σi = n(n+1)/2 where i=1 to n
Learn to drive an excavator in one minute
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#2 2012 MIT Integration Bee Qualifying Exam
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Why the mean of AP is the median of AP? mean=median?
#18 2023 MIT Integration Bee Qualifying Exam
#13 2011 MIT Integration Bee Qualifying Exam
trig integral 1/(sin^2(x)+ 2 cos^2(x)) dx
UC Davis: #11 exp trig ∫cos(5x)/e^sin(5x) dx