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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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

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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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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

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Screen Recording 2024-02-22 at 10.06.31 PM

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derivative (f(x))^n vs n^(g(x)) vs (f(x))^g(x)

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U North Texas Integration Bee 2nd way: x^2/√(x-1) dx

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sagad talaga

Lope Montera_6307

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@Manolo Fortich Grand Arena

HBGF(HavenBlaireGF)

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2nd way: ∫1/(√(x-α)(x-β)) dx

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BREANA Regis

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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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If pv^a=C (where a & C are constant) find dv/dp & d2v/dp2

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2nd way: ∫cos(x)/√(sin^2(x)+4sin(x)+3) dx

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Example: Find the sum

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Sugumar Subburayan

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2 ways: trig integral ∫sec^2(ax+b) tan(ax+b) dx

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