2010 #2 MIT Integration Bee

2nd way: integral ∫ log √x(x^n) dx

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1st/2 parts stat: SLR ∑ŷk = ∑yk where k=1,n

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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx

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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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2 ways: sq root derivative 1/(√√(1/√x))

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count quick review: Permutation vs Combination

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logic: tautology (¬p→q)∧(¬p→¬q) →p

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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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Penn. State U: Suppose the p.m.f of discrete random variable X is ...

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3 ways: If y=x/(1+x^2) find dy/dx.

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diff eq: Solve dy/dx = (2y4x^4)/(xy^3) ❌separable to ✅separable

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Pure Math: Calculate the coordinates of the two points on the curve

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2nd part: STPM Math T Sem.2: 12.1 Numerical solution of Equations

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sq root integral ∫1/√...√√x dx with n √

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Wake Up to the Waves: Experience the Best Sea View Rooms in Murdeshwar

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hyper trig integral ∫cosh(x) a^(logb(sinh(x)) ))dx

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#2 2023 MIT Integration Bee Qualifying Exam

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Smart people who answer these questions are actually more likely to get them wrong.

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2 ways: diff eq Solve dy/dx-x^2=0

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