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

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

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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx

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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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

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logic Idempotent law show x=xVx

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exp Differentiate (i) b^e^x (ii) b^x&e (iii) (b^e)^x (iv) (b^x)^e

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trig Write each expression as an equivalent algebraic expression involving only x.

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

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prob stat OCR #8 The Normal variable X is transformed to the Normal variable Y. ...

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Screen Recording 2023-12-06 at 3.07.30 AM

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

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U North Texas Integration Bee 2nd way: x^2/√(x-1) dx

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Screen Recording 2024-05-10 at 6.28.27 PM

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trig integral ∫x^2 cos(x^3) e^sin(x^3) dx

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UC Davis #11: count prove Σi^2 = n(n+1)(2n+1)/6 where i=1 to n

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2nd way: ∫cos(x)/√(sin^2(x)+4sin(x)+3) dx

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#1 2021 MIT Bee Qualifier: trig integral sin(x) cos(x) tan(x) sec(x) csc(x) cot(x) dx

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Think about the SS values you might obtain if you computed SS for these 22 samples...

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Screen Recording 2024-05-11 at 9.05.02 PM

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#16 2011 MIT Integration Bee Qualifying Exam

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