alternate way: count sum 1+3+5+ ... +(2n-1)

If sec(x+y)=xy then find dy/dx

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logic Idempotent law show x=xVx

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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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Pantun Melayu [Buah cempedak di luar pagar]

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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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Pantun Melayu [Sorong papan tarik papan]

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

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Screen Recording 2024-02-16 at 9.19.45 PM

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prob stat: A population of N=10 scores has a mean of 30.

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Purdue U: 2 ways Evaluate ∫2/(x (x-1)) dx where x=3 to 4

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UC Davis #12: exp integrate ∫(27e^(9x) + e^(12x))^(1/3) dx

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

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exp trig derivative x^x sin(x)

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【MLP Anthropomorphism】Theory of Lifespan

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4th/5ways: triangular num: Show t(n-1) + tn = n^2 where tn = nth triangular number

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2nd way: integral ∫x/(a-bx^4) dx

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exp integral ∫a^(√√x^3)/√√x dx

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trig integral ∫sin(2x) cos(2x) / (9-cos^4(2x)) dx

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Any function f is a sum of an EVEN & an ODD function

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5th/5ways: triangular num: Show t(n-1) + tn = n^2 where tn = nth triangular number

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