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#2 2024 MIT Integration Bee Qualifying Exam
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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
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1st/3parts: Checkpoint 1.1 STPM Math T Sem2
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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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2nd/3ways: trig integral ∫sec(x) dx
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2nd way: derivative (x^x)^x
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logic: tautology (¬p→q)∧(¬p→¬q) →p
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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
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trig integral ∫1/(sin(ax) cos(ax)) dx
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prob stat: The p.d.f of a discrete r.v. Y is given by P(Y=y)=cy^2 for y=0,1,2,3,4.
2010 #2 MIT Integration Bee
3rd/3 ways: How many chords can be drawn through 21 points on a circle?
#7 2023: MIT Integration Bee Quali Exam: integral ∫x^3 sin(x^2) dx
Lamar U 2nd way: evaluate exp integral ∫e^(2x)/(1+e^(2x)) dx
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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U NorthTexas Integration Bee 2nd way sin(√x)/√x dx
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2nd/2 ways: trig integral ∫sin(2x)/(1+cos^2(x)) dx
State Media Calls for Half-Staff Flags to Honor Yuan Longping’s Passing!
A random variable X has the following parameters: E(X)=a & Var(X)=2a^2-1 a∈R
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