power set: Find the following P(P(P(∅)))?

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

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

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2nd way: derivative (x^x)^x

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

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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

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2nd/2ways: count perm Show P(n,n)=P(n,n-1)

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2nd/2ways: [k map] logic Simplify the Boolean function F=AB+BC+B'C

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2nd/2ways: [k map] logic Simplify the Boolean function F=A'B'C+A'BC+AB'

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2nd/2ways: r-Permutations

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Show Σ(a+bk) = (a+1/2bn)(n+1)

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1st/2 parts: Inverse 2x2 matrix

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Review Add Math: Show a^m a^n = a^(m+n) where m & n are any 2 positive integers

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alternate way: count sum 1 + 2 + 3+... + n via "polynomial"

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2nd way: trig integral ∫sin^6(ax+b) cos^6(ax+b) dx

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2nd way: trig integral ∫1/(sin(x) cos^2(x)) dx

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