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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logic Idempotent law show x=xVx

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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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count quick review: Permutation vs Combination

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

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

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If y=acos(ln(x)) + bsin(ln(x)), show that x^2y2 + xy1 +y=0

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trig integral a) ∫csc^2(x) dx

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2nd way: Express as partial fractions

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2nd/3ways: derivative (x+1)^(1/2) (x+2)^(1/3) (x+3)^(1/4) (x+4)^(1/5) (x+5)^(1/6)

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2 ways: integral (3+5x)/(x(x-1)) dx

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"baby" fact: exp e^(ix)

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4th/4 ways: integral ∫1/(x + √x) dx

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trig integral ∫sin(1/x^2)/x^3 dx

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1st/2ways: Evaluate lim sin(5x)/sin(9x) as x tends 0

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log iintegral 1/( lnlnln(x) lnln(x) ln(x) x) dx

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trig integral ∫sec^2(x)/tan(x) dx vs ∫tan(x)/sec^2(x) dx

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