NYU: compute integral ∫√(1+ √x) dx

prob stat The events A & B are s.t P(A)=5/12, P(B)=2/3 & P(A' n B')=1/12.

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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx

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2nd way: integral ∫ log √x(x^n) 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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lim x/e^x? as x→∞

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Review: Linear form, Quadratic form & Bilinear form

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Swinburne U 2nd way: e^(-e^x) e^x dx

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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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2nd way: derivative (x/a)^n/(n-1) + (y/b)^n/(n-1) = 1

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Columbia U: 1st way integral ∫√(x^2-9)/x^4 dx

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review: When to use ... Sum of A.P n/2(a+l) vs n/2(2a+(n-1)d)

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Show integral 1/(x(x^2+a^2)) dx = 1/(2a^2) ln(x^2/(x^2+a^2))

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prob stat In a sample of n= 6 scores, 5 of the scores are each above the mean by one point.

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UC Davis: 2nd way differentiate y=x^(e^x)

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U Penn: Show that the following decomposition CANNOT hold ...

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Evaluate lim (e^x -1)/x^2 where x tends to 0

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2 ways: Evaluate lim sin(x)/tan(x) where x tends to 0.

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JHU: sq root integral ∫e^√x dx

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

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