3rd/3 ways: Express (4x-17)/((x+4)(2x-3)) in partial fractions via withOUT cover rule

examples: 2x2 matrix which is its own inverse

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Pantun Melayu [Buah cempedak di luar pagar]

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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Difference of 2 nonconsecutive triangular numbers

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Show log b^n(x^m) = m/n logb(x)

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2nd way: ∫1/(√(x-α)(x-β)) dx

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UC Davis #10: count prove Σi = n(n+1)/2 where i=1 to n

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JHU: integral ∫t^3 e^(t^2) dt

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

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2 ways: integral ∫x/(x+a) dx

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Given events J & K:

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

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

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Evaluate these 8 integrals of the form ∫(a-bx)^m dx

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Careful: arc sin(sin(5π/4)) ≠ ...

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EP 05 Akane-banashi

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Find the 2nd-order partial derivatives of f(x,y)=2xy^2-3x^2+xy^3

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2nd way: derivative x^n w.r.t x^x

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5 ways: trig derivative tan(x).

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2nd video: 🇪🇹Yemariam🇪🇹 [Draw a person with top hat with digits ...]

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