exp sq root integral ∫(√√ϕ)^x/(π^x) dx

pascal triangle: count comb Show nCk = (n-1)Ck + (n-1)C(k-1)

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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx

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

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logic Idempotent law show x=xVx

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Pantun Melayu [Buah cempedak di luar pagar]

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Pantun Melayu [Sorong papan tarik papan]

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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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integral ∫x^3/(x+2) dx

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exp integral e^x (f(x) + f'(x)) dx

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

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

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matrix product: AB=0 where A≠0 & B≠0

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integral ∫(x^2+2x)/(x^2+2x+2) dx

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UC Davis #11: count prove Σi^2 = n(n+1)(2n+1)/6 where i=1 to n

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#18 2011 MIT Integration Bee Qualifying Exam

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

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trig integral ∫cot(x) log(sin(x)) dx

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logic: De Morgan's Law

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derivative (f(x)/g(x))^h(x)

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The sum of 3 numbers in AP is 15 & the sum of their squares is 3. Find the numbers.

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