Show integral x/(x^2+a^2) dx = -1/(2(x^2+a^2))

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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Pantun Melayu [Buah cempedak di luar pagar]

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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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Do you know ... in tagalog?

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

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1st/2parts: Linear interpolation (2 given points)

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2 ways: Derivative √ (1+√ (1+√ x)))

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Find the derivative of log5(arc tan((x))

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#15 2022 MIT Integration Bee Qualifying Exam

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exp trig derivative x^x sin(x)

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

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prob stat: For events A & B it is known that P(A)=P(B), P(AnB)=0.1 & P(AuB)=0.7. Find P(A')

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prob stat: One sample of n=4 scores has a mean of M=10, &

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3 ways: Derivative y=x^(m/n)

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