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Review: Linear form, Quadratic form & Bilinear form
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The Maclaurin series of an EVEN function includes only EVEN powers.
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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1st/3parts: Checkpoint 1.1 STPM Math T Sem2
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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
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Pantun Melayu [Buah cempedak di luar pagar]
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
2nd way: integral ∫ log √x(x^n) dx
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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
3 ways: Find 1+2+3+ ... + n^2.
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1st/10 parts: Logical disjunction
alternate way: count sum 1 + 2 + 3+... + n via "polynomial"
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integral ∫(x^2-x+1)/(x^2+x+1) dx
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NYU: compute integral ∫√(1+ √x) dx
Wanna know function that is NEITHER even NOR odd? Here you go ...
integral ∫√(x-a)/x dx
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logic: If p then q ...
3 ways: sum Show 1+3+5+...nth term = n^2
NYU: compute ∫ln(x)/x^2 dx
2 ways: trig integral ∫csc^2(x)/sec(x) dx