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

#8 2021 MIT Integration Bee Qualifying Exam

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

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

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Pantun Melayu [Buah cempedak di luar pagar]

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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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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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UC Davis P#6: 2nd way differentiate y= (√x)^(√x) e^(x^2)

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Review: Multiplying each obs. by a CONSTANT results in new variance =

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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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Find the area via Pick's Theorem

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2 ways: Find logarithm of 5 to the base 5 √5.

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UC Davis: differentiate y=cos^2(x^3)

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Show integral ∫x √(ax+b) dx = 2(3ax-2b)√(ax+b)^3 /(15a^2)

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UC Davis p#12: 2nd way differentiate y=x^(x^(x^4)))

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#18 2010 MIT Integration Bee Qualifying Exam

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#9 2023 MIT Integration Bee Qualifying Exam

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#10 2023 MIT Integration Bee Qualifying Exam

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

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MIT Integration Bee Qual. Exam #9: integral (2logx+1)e^(log(x))^2 dx

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integral ∫(8x+12) (x^2+3x+1)^4 dx vs integral ∫(8x+12)/(x^2+3x+1)^4

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