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#8 2022 MIT Integration Bee Qualifying Exam

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

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

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lim x/e^x? as x→∞
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example Find 1+2+3+...+n via Pick's Theorem
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example Find 1+2+3+...+n via Pick's Theorem

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Calculus: Find nth derivative of sin(ax+b)

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Fill in each blank using either mean or median.
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Fill in each blank using either mean or median.

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AP Calculus integral 1)∫√x dx vs 2) ∫√(x-a) dx

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2nd way: ∫ (4x^2 +x +9)/((x^2+1)(x^2+3)) dx withOUT partial fraction

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Review: Multiplying each obs. by a CONSTANT results in new variance =
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Review: Multiplying each obs. by a CONSTANT results in new variance =

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#18 2011 MIT Integration Bee Qualifying Exam

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U Penn: Assuming g(x) is a continuous function whose derivative g'(x) is also continuous, evaluate .
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U Penn: Assuming g(x) is a continuous function whose derivative g'(x) is also continuous, evaluate .

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