#12 2024 1st/2ways: MIT Integration Bee Qualifying Exam

UC Davis #10: count prove Σi = n(n+1)/2 where i=1 to n

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

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

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

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

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Find the 2nd-order partial derivatives of f(x,y)=2xy^2-3x^2+xy^3

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JHU: integral ∫t^3 e^(t^2) dt

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prob stat It is known that P(X)=1/2 & P(Y)=1/4. Given that X & Y are mutually exclusive, find

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Columbia U: 4th/6 ways Evaluate the indefinite integral ∫1/(1+e^x) dx

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prob stat: 2 ways The mean of five #s 2,3,5,6,8 is 4.8. Calculate the std deviation.

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