#6 2024 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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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...

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

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

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Do you know ... in tagalog?

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2nd way: integral ∫ log √x(x^n) dx

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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

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

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

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

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Pantun Melayu [Buah cempedak di luar pagar]

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1st/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via median.

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If x=at^2,, y=2at, then find d2y/dx2

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integral Find ∫ 2x/(x^2+1)^(1/3) dx

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integral Find ∫ x^4 log(x) dx

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1st way: Differentiate the function w.r.t x log10(x)+logx(10)+logx(x)+log10(10)

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2nd part: n^2 = (tn - tn-1)^2 where tn = nth triangular number

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4 ways: sum Find the sum of the values of 4+3i for i=1,2,...,100

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