2 ways: trig integral cos^2(x) sin^2(x) dx

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

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count quick review: Permutation vs Combination

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Pantun Melayu [Buah cempedak di luar pagar]

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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

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Swinburne U 2nd way: e^(-e^x) e^x dx

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Review: Linear form, Quadratic form & Bilinear form

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

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Screen Recording 2024-05-10 at 6.17.33 PM

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

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Let f(x) be a polynomial of degree 1. If f(10)-f(5)=15, then f(20)-f(5)=?

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Screen Recording 2024-05-10 at 6.19.39 PM

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logic: tautology p→q≡(¬q→¬p)

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prob stat In a sample of n= 6 scores, 5 of the scores are each above the mean by one point.

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

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1st/2 ways: derivative y=(ln(x))^x

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WMich. U: 2nd way trig derivative d/dx(sin(x)^cos(x))

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

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Always ZERO

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