2nd way: trig integral ∫ 1/( √3 sin(x) + cos(x)) dx

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

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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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

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Pantun Melayu [Buah cempedak di luar pagar]

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2nd/2parts stat: SLR Regression lline always goes through the point (x̄, ȳ)

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Sum of the first n integers 1+2+3+ ...+n=n/2 (1+n) via Induction

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

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doneScreen Recording 2024-05-18 at 10.25.20 PM

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1st/2 ways: integral ∫1/(x(x^n -1)) dx

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prob stat: Consider the experiment of tossing a fair coin twice & reading the up face on each toss.

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2nd way: derivative (x/a)^n/(n-1) + (y/b)^n/(n-1) = 1

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

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Columbia U: 1st way integral ∫√(x^2-9)/x^4 dx

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2nd way: ∫1/(√(x-α)(x-β)) dx

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Conversion: Permutation - Combination vice versa

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prob stat: A candidate obtained the following results in her math examination:

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2nd way: 1) ∫1/(a + √b x^2) dx vs 2) ∫1/(a + √b x^2) dx

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