#4 2022 1st/2 ways: MIT Integration Bee Qualifying Exam

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

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

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stat: SLR Properties of residuals

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

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logic Idempotent law show x=xVx

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logic: tautology (¬p→q)∧(¬p→¬q) →p

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Penn. State U: Suppose the p.m.f of discrete random variable X is ...

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count quick review: Permutation vs Combination

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3 ways: exp integral ∫ln(e^x) + ln(e^(-x)) dx

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#3 2023 MIT Integration Bee Qualifying Exam

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2nd way: trig Evaluate 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫ sin^3(x)/√cos(x) dx

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integration bee 2014 UNSW integral (x^2+3)/(x^2-3) dxx

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3 ways: sum Show 1+3+5+...nth term = n^2

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trig integral ∫cot(x) log(sin(x)) dx

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1st/2ways: r-Permutations

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Princeton U: Compute the integral ∫sin^5(x)/cos(x) dx

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2 ways: derivative a^f(g(x))

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derivative log f(g(x)) (a)

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logic: tautology p→q≡(¬q→¬p)

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logic: contradiction p∧¬p

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