Pascal's triangle rCk [examples]

2 ways: integral ∫(x-a)/(x+a) dx

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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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count quick review: Permutation vs Combination

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logic Idempotent law show x=xVx

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Penn. State U: Suppose the p.m.f of discrete random variable X is ...

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Pantun Melayu [Pulau Pandan Jauh Ke Tengah]

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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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derivative y=f(logb(arc tan(px+q))

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#8 Lamar U: evaluate integral sec^8(t/2) tan^5(t/2) dt

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count comb: values nCn, nC(n-1), nC(n-2)

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integral exp ∫e^(mx)/(x^n) dx via Reduction formula

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2nd way: integral ∫x^(n-1) /(a-bx^n) dx

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2nd way: trig integral ∫sin(x)/(a-bcos(x)) dx

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2nd way: integral ∫1/x log mb(x) dx

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"baby" fact: exp e^(ix)

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alternate way: count sum 1 + 2 + 3+... + n via "polynomial"

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5th/5ways: triangular num: Show t(n-1) + tn = n^2 where tn = nth triangular number

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2nd way: ∫ (x+1)/(1-x^2) dx

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