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

Bijection of elements in tn & a pair of elements of (n+1)

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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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logic Idempotent law show x=xVx

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Pantun Melayu [Sorong papan tarik papan]

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

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Why the mean of AP is the median of AP? mean=median?

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#12 2024 MIT Integration Bee Qualifying Exam

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#3 UC Davis integrate ∫3/(4+x^(1/3)) dx via power sub

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2nd way: ∫1/(√(x-α)(x-β)) dx

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

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A cubical die, numbered 1 to 6 is weighted so that a six is twice as likely to occur as any other #.

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Matriculation & Calculus: Show if y=f(x) g(x) h(x) k(x)

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

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#12 2024 1st/2ways: MIT Integration Bee Qualifying Exam

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

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#22 2019 MIT Integration Bee Final

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Find the expected value & the variance of a geometric r.v. X

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prob stat: Consider the experiment of tossing a fair coin twice & reading the up face on each toss.

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2nd/2 ways: derivative x^2/3 + y^2/3 = a^2/3

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