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2 ways: integral ∫(x-a)/(x+a) dx
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count quick review: Permutation vs Combination
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2nd way: integral ∫ log √x(x^n) dx
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
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Penn. State U: Suppose the p.m.f of discrete random variable X is ...
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2nd/3ways: trig integral ∫sec(x) dx
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2 ways: ∫1/(x^2+2x-3) dx
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examples: 2x2 matrix which is its own inverse
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2nd/2parts: Linear interpolation (2 given points)
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3 ways: sum Show 1+3+5+...nth term = n^2
2nd video: 🇪🇹Yemariam🇪🇹 [Draw a person with top hat with digits ...]
1st/2ways: permutation Show P(n,2)+P(n,1)=n^2
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alternate way: count sum 1+2+3+ ... +n
logic: Show p→q ≡¬ p∨q
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Evaluate these 9 integrals containing ...
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2 ways: derivative a^f(g(x))
logic: tautology p→q≡(¬q→¬p)
matrix product: AB=0 where A≠0 & B≠0
integral exp ∫e^(mx)/(x^n) dx via Reduction formula
trig Show cos(4x) = 8 cos^4(x) -cos^2(x)+1