#15 MIT 2022 Integration Bee Qualifying Exam

prob stat: x̄=∑xk where k=1,2,3,...,n?

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logic Idempotent law show x=xVx

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Review: Linear form, Quadratic form & Bilinear form

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

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

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2 ways: The following measurements were taken by an antique dealer as he weighted to the ...

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2 way: exp integral e^(ax+b)/1+e^(ax+b)) dx

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Lamar U: Differentiate ... a) (5x^3-7x+1)^5 [f(x)]^5, [y(x)]^5

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2nd way: integral ∫x/(2ax-x^2) dx

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2nd way: derivative x^n w.r.t x^x

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4 ways: trig integral ∫tan(x) dx

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2nd/2 parts: sum Find the sum 2,3,14,24,37,... nth term

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Quickie: 6169^2 - 2331^2?

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U of Auckland: proc & stat Let X be a continuous random variable with p.d.f

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Screen Recording 2024-05-12 at 9.04.39 PM

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2 ways: exp derivative ln(e^(x+1/x))

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Screen Recording 2024-02-22 at 10.30.06 PM

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Alternate way: 2nd picture Show 1+3+5+...+(2n-1)=n^2

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AP Calculus: integral ∫(5√x^3 + √6x) /√x dx

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3 ways: trig 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫sin(ax+b) dx

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