NYU: compute integral ∫√(1+ √x) dx

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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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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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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) 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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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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2nd way: integral ∫ log √x(x^n) dx

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