#17 2022 MIT Integration Bee Qualifying Exam

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

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5 วิว

A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...

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11 วิว

1st way: exp ∫(e^x)/x (1+x log(x)) dx

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22 วิว

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

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

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4 วิว

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

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23 วิว

2nd way: integral ∫ log √x(x^n) dx

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65 วิว

Do you know ... in tagalog?

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Pantun Melayu [Buah cempedak di luar pagar]

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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

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23 วิว

1st/2 ways: nPn, nP(n-1), nP(n-2)

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UC Davis #14: integral ∫x √(4-x) dx

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2 ways: trig integral ∫sin^3(ax+b) dx

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UC Davis #8: exp integral ∫e^x (1-e^x)(1+e^x)^10 dx

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2nd way: trig integral ∫1/(1+sin^2(x))cos^2(x))

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2nd way:exp sq rt integral ∫1/( √x e^(a√x -b)) dx

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Pantun Melayu [Pulau Pandan Jauh Ke Tengah]

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19 วิว

If xy+y^2=tan(x)+y,then find dy/dx

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0 วิว