#2 2023 MIT Integration Bee Qualifying Exam

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Let f(x) be a polynomial of degree 1. If f(10)-f(5)=15, then f(20)-f(5)=?

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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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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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Do you know ... in tagalog?

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Pantun Melayu [Buah cempedak di luar pagar]

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alternate way: count sum 1 + 2 + 3+... + n via "polynomial"

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U North Texas Integration Bee 2nd way: x^2/√(x-1) dx

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prpob stat A bag contains 5 black balls 6 red balls. Determine the number of ways in which ...

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

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23 วิว

Princeton U: Compute the integral ∫sin^5(x)/cos(x) dx

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trig integral ∫3e^(2x)/(1+e^(4x)) dx

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log 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫1/(x ln(x) ln(ln(x))) dx

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UC Davis: #6 exp integral ∫e^x(1+2e^x)^4 dx

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Pantun Melayu [Sorong papan tarik papan]

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18 วิว

commutative: ab=ba via "picture"

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There are 2 lines. One line has 3 points & the other line has 6 points.

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3 ways: sum Show 1+3+5+...nth term = n^2

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Lamar U: #6 trig integral ∫tan^3(6x) sec^10(6x) dx

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1st/2 parts: Inverse 2x2 matrix

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