prob stat The members of an orchestra were asked how many instruments each could play.

U North Texas Integration Bee 2nd way: x^2/√(x-1) dx

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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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

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Pascal's triangle nth triangular number [examples]

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IGCSE 2023 p2 Add Math #4

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#3 2024 MIT Integration Bee Qualifying Exam

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2nd part: STPM Math T Sem.2: 12.1 Numerical solution of Equations

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1st/2ways: exp e^g(x) (g'(x)f(x) + f'(x)) dx

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UNSW 2nd way: integral 1/(x+x^5) dx

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Sum of the first n integers 1+2+3+ ...+n=n/2 (1+n) via Induction

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NYU: 2 ways integral ∫(x^2 + 2x +1) dx

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Amaya & Ben integrated (1+x)^2 wrt x using different methods as follows ...

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Rutgers U: compute log integral ∫x^2 (ln(x))^2 dx

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5th way: Columbia U integral 1/(1+e^x) dx

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Screen Recording 2024-05-13 at 10.55.21 PM

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U NorthTexas Integration Bee 2nd way sin(√x)/√x dx

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prob stat: 10 people have a potluck. 5 peoplle will be selected to bring a main dish,

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2010 Raytheon MATHCOUNTS National Competition

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Integral arc cos(cos^2(x)-sin^2(x)) dx

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