Show integral 1/(x^2(x^2+a^2)) dx = -1/(a^2x) - 1/a^3 arc tan(x/a)

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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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Do you know ... in tagalog?

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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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2nd way: integral ∫ log √x(x^n) dx

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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(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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Lamar U: Use log. differentiation to find the 1st derivative of the given function

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Given events J & K:

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Let E & F be mutually exclusive events.

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AP Calculus 2nd way: trig ∫x sin(x) dx

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AP Calculus 2nd way: trig integral ∫sin(2x)/(2-cos^2(x)) dx

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

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multivariable partial Let w=2x^2 y, where x=u^2+v^2 & y=u^2-v^2. Find ∂w/∂u & ∂w/∂v.

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AP Calculus: log ∫√x(√√x) da

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

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