2 ways: trig Show tan(2x)=2/(cot(x)-tan(x))

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

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integration bee 2014 UNSW 2nd way: tan(x)/(sin(x) cos(x)) dx

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Pantun Melayu [Sorong papan tarik papan]

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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 [Buah cempedak di luar pagar]

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

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

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Screen Recording 2024-05-05 at 11.28.23 PM

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3 ways: trig 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫sin(ax+b) dx

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Prove Σ1/((k-1)(k+1))=(3n^2-n-2)/(4n(n+1)) where k=2 to n ∀n ≥ 2

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

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prob stat: A fair die is thrown twice. Find the prob. that two 5's are thrown.

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Screen Recording 2024-05-18 at 10.21.39 PM

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#Screen Recording 2024-05-13 at 10.52.38 PM

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exp integral e^x (f(x) + f'(x)) dx

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Lamar U 2nd way: evaluate exp integral ∫e^(x+e^x) dx

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impIicit diff f x^y=y^x, find dy/dx at (2,4)

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2 ways: trig integral ∫tan^3(x) sec^2(x) dx

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4Screen Recording 2024-05-16 at 11.49.26 PM

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When a die was thrown the scores was an odd #. What is the prob. that it was a prime #?

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