count comb Show (n-r)* nCr = n * (n-1)Cr

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

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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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count quick review: Permutation vs Combination

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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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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

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exp Differentiate (i) b^e^x (ii) b^x&e (iii) (b^e)^x (iv) (b^x)^e

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

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#8 Lamar U: evaluate integral sec^8(t/2) tan^5(t/2) dt

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Screen Recording 2024-05-18 at 10.21.39 PM

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trig integral ∫sin^3(x)/cos^4(x) dx

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6th form Pure Math: Evaluate the integrals

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【Weird Town】【Next Generation AU】Main Path 5

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

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6th form Pure Math: hyper trig integrate ∫1/(sin(x) + cos(x)) dx1/(sinh(x)+2cosh(x)) dx

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trig integral sin(tan(x)) cos(tan(x)) sec^2(x) dx [chain rule in reverse]

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exp trig derivative a^x sin(x)

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3rd way: nCr = (n-1)Cr + (n-1)C(r-1)

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