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#6 2024 MIT Integration Bee Qualifying Exam
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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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2nd way: integral ∫ log √x(x^n) dx
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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)
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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...
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Swinburne U 2nd way: e^(-e^x) e^x dx
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2 ways: sq root derivative 1/(√√(1/√x))
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Evaluate these 7 integrals ...
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How many chords can be drawn through 21 points on a circle?
prob stat 2/2 ways: A couple has 6 children whose ages are 6,8,10,12,14,16.
Columbia U: 6th/6 ways Evaluate the indefinite integral ∫1/(1+e^x) dx
prob stat: Two events are such that P(A)=0.6, P(B)=0.5 & P(AUB)=0.85
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Lamar U 2nd way: evaluate integral ∫√(1+2ln(7x))/2 +10x^3/(x^4 +9) dx
Attention, Gaokao candidates! Listen to Chen Duling talk about the core of the Aerospace Vehicle Man
prob stat: Find the expected value & std deviation in the number of '6's when 20 dice are rolled.
CMU trig integral ∫sin^6(x) cos^3(x) dx
Evaluate the integrals
CMU integral ∫1/(x^2 √(16x^2 -19)) dx
Lamar U 2nd way: evaluate trig integral ∫csc(x/2) cot(x/2)(csc^6(x/2)+3csc^4(x/2)-8csc(x/2)) dx
#18 2023 MIT Integration Bee Qualifying Exam