Large sq made up of 100 smaller unit sq. Border of the large sq are colored red. WithOUT counting ..

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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count quick review: Permutation vs Combination

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Penn. State U: Suppose the p.m.f of discrete random variable X is ...

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2nd/2ways: Taylor series of cos(x)

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Alternate way: trig integral ∫sin(x) dx

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2 ways: derivative x √√x

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Next, I'll hand it over to you, Dekai!

Lingchenw

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

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Lamar U: trig integral ∫cos^5(2t) sin^2(2t) dt

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iwaizumi vers...#gwenchana

In zya

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Screen Recording 2024-05-11 at 9.05.02 PM

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Screen Recording 2024-05-18 at 10.21.39 PM

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The girl saw her best friend's scar and found out that she was her own sister.

hanhangeshuodianying

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Screen Recording 2024-05-10 at 6.17.33 PM

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Show ∫ f'(x)/√f(x) dx = 2 √f(x) + C

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Screen Recording 2024-05-13 at 9.18.43 PM

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pascal triangle: count comb Show nCk = (n-1)Ck + (n-1)C(k-1)

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Princeton U: Compute the integral ∫sin^5(x)/cos(x) dx

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1st way: count values nPn, nP(n-1), nP(n-2)

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Columbia U: 4th/6 ways Evaluate the indefinite integral ∫1/(1+e^x) dx

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