#16 2011 MIT Integration Bee Qualifying Exam

prob stat: A population of N=5 scores has a mean µ= 12. What is ∑X for this sample?

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

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

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1st/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via median.

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logic Idempotent law show x=xVx

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#9 2010 MIT Integration Bee Qualifying Exam

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UC Davis: #10 log integral ∫3/(x ln(x)) 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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UC Davis#2: 2nd way integral ∫(2x+3)/(x^2-9) dx [integration by partial fraction]

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derivative If y=e^(a arc sin(x)), prove that (1-x^2)y2 - xy1 = a^2y.

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Find the equation of the tangent line to the curve x^3-3y^3+xy+21=0 at the point (1,2)

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If y=a e^(mx) + b e^(-mx), show that y2=m^2y

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UC Davis #1: 2 ways Find the length of the graph for y=3x+2 on the closed interval ...

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matrix example: How to select the column you want ...

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2nd way: trig integral ∫(1-cos(x))(1+cos(x))/cos^2(x) dx

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U Arizona: 2nd way For each integral decide which of the following is needed: ...

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