4 ways: trig integral ∫sin(x) cos(x) dx

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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Pantun Melayu [Buah cempedak di luar pagar]

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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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【Sweet Cat 77】E:ku 2.0

cirssangel

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

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Pantun Melayu [Sorong papan tarik papan]

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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When she falls while running, what her parents say is different!

xiaosutang

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UC Davis #10: count prove Σi = n(n+1)/2 where i=1 to n

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What kind of game is this? It's hard to guess. [Forest of the blue skin]

xiaojiaobulaya

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example Find 1+2+3+...+n via Pick's Theorem

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Growing patterns #3

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1st/2ways: Taylor series of cos(x)

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2nd way: trig integral ∫√tan(x)/(sin(x) cos(x)) dx

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count Show Σ k^2 = ΣΣmin(i,j) where i,j,k=1 to n

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Diff Eq: Solve sec(x) dy/dx=y+sin(x) via Integrating factor [IF]

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2nd/2ways: [k map] logic Simplify the Boolean function F=A'B'C+A'BC+AB'

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1st/3 parts: Growing patterns

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3 ways: rational function integral ∫2x/(x+1)^2 dx

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