#6 2010 MIT Integration Bee Qualifying Exam

2 ways: integral ∫(x-a)/(x+a) dx

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2nd way: integral ∫ log √x(x^n) dx

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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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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx

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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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Calculus: Find nth derivative of log(ax+b)

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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

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Evaluate these 9 integrals containing ...

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2nd way: trig integral ∫sin(x/a) dx

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examples: 2x2 matrix which is its own inverse

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integral exp ∫e^(mx)/(x^n) dx via Reduction formula

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2nd way: trig integral ∫x sin(x) sec^3(x) dx

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2nd way: integral ∫ 1/(5x^2 -3x +7) dx with BONUS

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AP Calculus 2nd way: integral ∫(ax+c)/(ax^2 + bx) dx

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

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One minute on stage, ten years of hard work off stage.

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1st/2ways: permutation Show P(n,2)+P(n,1)=n^2

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