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prob stat: The p.d.f of a discrete r.v. Y is given by P(Y=y)=cy^2 for y=0,1,2,3,4.
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2nd way: integral ∫ log √x(x^n) dx
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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx
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count quick review: Permutation vs Combination
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trig Write each expression as an equivalent algebraic expression involving only x.
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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Columbia U: 4th/6 ways Evaluate the indefinite integral ∫1/(1+e^x) dx
integration bee 2018 Swinburne integral (1-cos(x))/sin^2(x/2) dx
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prob stat The prob of events A & B are P(A) & P(B) respectively P(A)=5/12, P(A n B)=1/6, P(AuB)=q.
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prob stat The events A & B are s.t P(A)=5/12, P(B)=2/3 & P(A' n B')=1/12.
2nd way: Evaluate ∫ 1/√(1-e^(2x)) dx
2nd way: integral ∫x^k ln(x) dx = x^(k+1)/(k+1) ln(x) - x^(k+1)/(k+1)^2 + C where C ≠ -1
Columbia U: 3rd way Evaluate the indefinite integral ∫1/(1+e^x) dx
prob stat: In how many ways can a hand of 4 cards be dealt from an ordinary pack of 52 playing cards
NDA-2004 2nd way integral ∫(x-x^3)^1/3/x^4 dx
2nd way: exp integral ∫(e^(-x) - e^x)/(e^(2x) + e^(-2x) 2) dx
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