#4 2010 MIT Integration Bee Qualifying Exam

A bag contains 5 red balls & 3 green balls. A ball is selected at random &

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example: Mean, Median & Mode

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

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

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

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trig Write each expression as an equivalent algebraic expression involving only x.

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🪔 Happy Deepavali 🪔 [Nov-12-2023]

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lim x/e^x? as x→∞

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Prove that the following inner [scalar] product ...

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Blue Battle’s annual income after one year of non-negotiated talks

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prob stat: 1st/2 parts. One sample has a mean of M=6 &

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Calculus: If u=f(x+cy)+g(x-cy) then uxx / uyy ?

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

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AP Calculus 2nd way: integral ∫(ax^2+bx+c)/(ax+c) dx

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2nd way: integral ∫x/(2ax-x^2) dx

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Bijection of elements in tn & a pair of elements of (n+1)

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AP Calculus 2nd way trig ∫sin^3(x)/(cos(x)-1) dx

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prob stat: Consider the experiment of tossing a fair coin twice & reading the up face on each toss.

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Lamar U: Assume that x=x(t) & y=y(t) & differentiate the following equation wrt t

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5 ways: trig Derivative of sin^2(x)

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