2024 #3 MIT Integration Bee Final Lightning Round

2024 MIT Integration Bee Final

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

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

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A map of Huo Qubing’s movements as recorded in historical texts:

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Simplify the following statements using only the connectives ∧, ∨ and ¬

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

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Why Guangzhou Is So Attractive

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If y=a e^(mx) + b e^(-mx), show that y2=m^2y

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4 ways: trig integral ∫tan(x) dx

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2010 #2 MIT Integration Bee

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The Secret Beneath the Deep Well

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2nd way: ∫cos(x)/√(sin^2(x)+4sin(x)+3) dx

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Given events J & K:

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Screen Recording 2024-02-02 at 1.54.05 AM

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2nd way: trig integral (3-tan^2(x))/(cot(x)-3tan(x)) dx

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