set Show X∩ ((Y∪ X') ∩ Y') = ∅

Review: Arithmetic Series a+(a+d)+(a+2d)+...+(a+(n-1)d)=

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Pantun Melayu [Buah cempedak di luar pagar]

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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Review: Linear form, Quadratic form & Bilinear form

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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx

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trig Write each expression as an equivalent algebraic expression involving only x.

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Swinburne U 2nd way: e^(-e^x) e^x dx

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Pantun Melayu [Sorong papan tarik papan]

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Median [special weighted mean]

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1st/2ways: 1+2+3+...+(n-1)+n+(n-1)+...+3+2+1 = n^2

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1st/2 ways: Show 1+3+5+ ... +(2n-1) + (2n+1) + (2n-1)+...+5+3+1= n^2 + (n+1)^2

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2 ways: ∫1/(x^2+2x-3) dx

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Lamar U: Use log. differentiation to find the 1st derivative of the given function

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

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2 ways: trig integral ∫1/(2+cos^2(x)) dx

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Lamar U 2nd way: evaluate integral ∫√(1+2ln(7x))/2 +10x^3/(x^4 +9) dx

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integral ∫x^3/(x+2) dx

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prpob stat A bag contains 5 black balls 6 red balls. Determine the number of ways in which ...

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2010 Raytheon MATHCOUNTS National Competition

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