1st way: trig derivative (sin(x))^x

Naruto,,,,,#@

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2nd/3ways: trig integral ∫sec(x) dx

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count quick review: Permutation vs Combination

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2nd way: integral ∫ log √x(x^n) dx

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logic Idempotent law show x=xVx

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Pantun Melayu [Sorong papan tarik papan]

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2024 MIT Integration Bee Final

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alternate way: count sum 1+2+3+ ... +n

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examples: 2x2 matrix which is its own inverse

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JHU: integral ∫t^3 e^(t^2) dt

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Let f(x,y)=4-2xx^2-y^2. Find the slope of the tangent line at the point (1,1,1) on the curve formed

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

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Bijection of elements in tn & a pair of elements of (n+1)

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Find the equation of the tangent line to the curve x^3-3y^3+xy+21=0 at the point (1,2)

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NYU: compute integral ∫√(1+ √x) dx

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STPM Math T: trig double angle Express cos(2x) & sin(2x) in terms of tan(x)

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alternate way: count sum 1 + 2 + 3+... + n via "polynomial"

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Alternate way: trig integral ∫sin(x) dx

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Roorkee 1976 RET 1991Hindustan: trig integral 1/(sin^2(x) cos^2(x)) dx

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1st/2ways: exp e^g(x) (g'(x)f(x) + f'(x)) dx

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