A couple has 6 children whose ages are 6,8,10,12,14,16. Find the variance in ages.

3rd way: trig log integral ∫(a+ln(sin(x))/tan(x) dx

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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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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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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx

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

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

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Screen Recording 2024-02-02 at 1.54.05 AM

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4 ways: trig integral ∫tan(x) dx

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prob stat: An ordinary die is thrown. Find the prob. that the number obtained is

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2nd way: integral ∫a^log√a(x^n) dx

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2 ways: integral x√(x-5) dx

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U Penn: Show that the following decomposition CANNOT hold ...

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MPPET 1993 BIT Ranchi 1982 Hindusta: trig integral ∫ (1+cos^2(x)/sin^2(x) dx

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Columbia U: 3rd way Evaluate the indefinite integral ∫1/(1+e^x) dx

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2nd way: integral ∫1/√(arc sin(a)x - √√b) dx Calculus

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What does SS tell us about a set of data? Under what circumstances will the value of SS equal 0?

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2nd way trig Evaluate 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫tan(x) sec^2(x)/(a^2+b^2tan^2(x))^2 dx

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prob stat a) Calculate the mean & the std deviation of 4 numbers 2,3,6,9

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