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2nd way: derivative x^n w.r.t x^x
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count quick review: Permutation vs Combination
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Penn. State U: Suppose the p.m.f of discrete random variable X is ...
Pantun Melayu [Pulau Pandan Jauh Ke Tengah]
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2nd way: integral ∫ log √x(x^n) dx
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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
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1st/2ways: permutation Show P(n,2)+P(n,1)=n^2
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2nd/2ways: count perm Show P(n,n)=P(n,n-1)
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1st/2ways: exp e^g(x) (g'(x)f(x) + f'(x)) dx
Large sq made up of 100 smaller unit sq. Border of the large sq are colored red. WithOUT counting ..
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examples: 2x2 matrix which is its own inverse
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1st/2ways: r-Permutations
2 ways: integral ∫x/(x+a) dx
3rd/10parts: Exclusive disjunction
alternate way: count sum 1+2+3+ ... +n
logic: contradiction p∧¬p
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Alternate way: log integral ∫1/(x+xln(2x))
review: When to use ... Sum of A.P n/2(a+l) vs n/2(2a+(n-1)d)
Prove Σ1/((k-1)(k+1))=(3n^2-n-2)/(4n(n+1)) where k=2 to n ∀n ≥ 2