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prob stat: Compute Var(X) when X represents the outcome when we roll a fair die.
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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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Swinburne U 2nd way: e^(-e^x) e^x dx
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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Review: Linear form, Quadratic form & Bilinear form
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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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2 ways: The following measurements were taken by an antique dealer as he weighted to the ...
2nd/2ways: Taylor series of sin(x)
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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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Screen Recording 2024-05-19 at 11.13.23 PM
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exp integral e^2x/(1+e^x) dx
prob stat In a sample of n= 6 scores, 5 of the scores are each above the mean by one point.
prob stat: For the sample shown in the freq distribution table, what is the mode?
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3 ways: Find 1+2+3+ ... + n^2.
AP Calculus 3rd way: exp integral 1/(1+e^x) dx [withOUT u-sub]
integration bee 2018 Swinburne integral (1-cos(x))/sin^2(x/2) dx
Columbia U: 9th/9 ways Evaluate the indefinite integral ∫1/(1+e^x) dx withOUt u-sub
1st/2 way: Expand e^sin(x) by Maclaurin's Theorem
2 ways: 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫x^5 √(1+x^3) dx