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

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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IIT-1995 2nd way integral ∫x^5/(1+x^3) dx

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2nd way: integral ∫ log √x(x^n) dx

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2nd way: derivative (x^x)^x

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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) 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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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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Pantun Melayu [Pulau Pandan Jauh Ke Tengah]

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prob stat: The p.d.f of a discrete r.v. Y is given by P(Y=y)=cy^2 for y=0,1,2,3,4.

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Lamar U 2nd way: evaluate trig integral ∫x sin(x^2) [cos^4(x^2) + 8 cos^2(x^2)-10] dx

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#14 2014 MIT Integration Bee Qualifying Exam

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Screen Recording 2024-05-05 at 11.26.15 PM

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Variability or spread of a distribution. Whey we need it!

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Columbia U: 1st way integral ∫√(x^2-9)/x^4 dx

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prob stat One of the longest words in std. statistics terminology is "HOMOSCEDASTICITY".

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Show ∫1/(a+btan(x)) dx = ...

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#6 2014 MIT Integration Bee Qualifying Exam

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UC Davis p#12: 2nd way differentiate y=x^(x^(x^4)))

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