3 ways: exp integral e^(2x)/(1+e^x) dx

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Itzme Zaila

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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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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

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Marvel Zombie Universe Finale: Loop

ayinshitiaoxianyu

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2010 #2 MIT Integration Bee

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integral Find ∫1/(9-4x^2) dx

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

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Show Σ(a+bk) = (a+1/2bn)(n+1)

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5th/5ways: triangular num: Show t(n-1) + tn = n^2 where tn = nth triangular number

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1st way: Differentiate the function w.r.t x log10(x)+logx(10)+logx(x)+log10(10)

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2nd part/3parts: Mean of -11,-2,7,...,70 SAME as Mean -11 & 70

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2nd/2ways: Taylor series of cos(x)

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2 ways: integral x√(x-5) dx

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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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#15 2022 MIT Integration Bee Qualifying Exam

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commutative: ab=ba via "picture"

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Lamar U: #12 trig integral evaluate ∫sec^4(2t)/tan^9(2t) dt

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Lamar U: #6 trig integral ∫tan^3(6x) sec^10(6x) dx

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2 ways: derivative x √√x

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2nd way: log sq rt ∫ln(ax+b)/n√(ax+b)^m dx

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