#6 2019 MIT Integration Bee Final

Review: Multiplying each obs. by a CONSTANT results in new variance =

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

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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx

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

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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

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Review: Linear form, Quadratic form & Bilinear form

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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...

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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx

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Show ∫1/(a+btan(x)) dx = ...

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set Is there any difference between the meanings of ...

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#9 2010 MIT Integration Bee Qualifying Exam

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prob stat: Compute Var(X) when X represents the outcome when we roll a fair die.

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#2 2011 MIT Integration Bee Qualifying Exam

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MPPET 1993 BIT Ranchi 1982 Hindusta: trig integral ∫ (1+cos^2(x)/sin^2(x) dx

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sq root 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫1/(√x (1+√x))dx

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picture "proof":Show Σk^2 = ΣΣmin(i,j) where i,j,k=1 to n

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example: Mean, Median & Mode

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logic How can we check our Boolean simplification is done correctly?

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