Growing patterns #2

MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx

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

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Screen Recording 2024-05-05 at 11.16.06 PM

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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...

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Pantun Melayu [Sorong papan tarik papan]

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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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integration bee 2014 UNSW 3rd way: e^x(cos(x)+sin(x)) dx

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Properties of Determinants [examples with 2x2 matrix]

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Lamar U 2nd way: evaluate integral ∫√(1+2ln(7x))/2 +10x^3/(x^4 +9) dx

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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: log sqr integral ∫ln(x)/x dx

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Review: Product to Sum Identities

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trig Prove each identity ... 1) to 10)

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Screen Recording 2024-02-22 at 10.30.06 PM

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Lamar U: Derivatives of Exponential & Log Functions Assignment Problems.

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3rd/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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integral ∫x^2/√(x^2+a^2) dx

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UC Davis #11: count prove Σi^2 = n(n+1)(2n+1)/6 where i=1 to n

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Screen Recording 2024-02-16 at 8.34.08 PM

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inverse trig Derivative arc sin(x)

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