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

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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx

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

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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx

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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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Screen Recording 2024-05-11 at 8.58.53 PM

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If u=a+ib is a complex #, then complex conjugate of u*=a-ib. ...

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NYU: 3 ways ∫(1+ln(x))/x dx

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trig integral sin(x+sin(x))-sin(x-sin(x)) dx

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3rd/3 ways: How many chords can be drawn through 21 points on a circle?

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U Arizona: For each integral decide which of the following is needed:

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Screen Recording 2024-02-22 at 10.45.08 PM

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Calculus: If u=f(x+cy)+g(x-cy) then uxx / uyy ?

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#4 2022 1st/2 ways: MIT Integration Bee Qualifying Exam

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Screen Recording 2024-02-22 at 10.13.28 PM

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Screen Recording 2024-05-12 at 8.34.35 PM

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#13 2010 MIT Integration Bee Qualifying Exam

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UC Davis #1 2nd way: integral ∫1/(x^2-4) dx [integration by partial fraction]

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2 ways: Evaluate lim sin(x)/tan(x) where x tends to 0.

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