integration bee 2018 Swinburne U integral x^2/2 ln(2/x^2) dx

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

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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

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

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2nd way: integral ∫ log √x(x^n) dx

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STPM Math T Sem. 2: Ex 11.2 Given that f(x)=tan(x), show that ...

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Given that X Geo(p), find P(X=k) if

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Screen Recording 2023-12-06 at 3.07.30 AM

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A random variable X has the following parameters: E(X)=a & Var(X)=2a^2-1 a∈R

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2nd/2ways: derivative (sin(x)+cos(x))^2

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Solve the differential equation cos^2(y) dx +(1+e^(-x) sin(y) dy=0

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integral ∫x^5 x^e dx vs ∫5^x e^x dx

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exp Evaluate these 4 integrals containing e^x ...

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CMU integral ∫1/(x^2 √(16x^2 -19)) dx

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