Screen Recording 2024-05-11 at 8.57.14 PM

Calculus: Find nth derivative of log(ax+b)

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

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Swinburne U 2nd way: e^(-e^x) e^x 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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Screen Recording 2024-05-05 at 11.22.54 PM

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Screen Recording 2024-05-06 at 11.55.08 PM

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Screen Recording 2024-05-10 at 6.19.39 PM

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Screen Recording 2024-05-11 at 9.09.07 PM

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prob stat In a sample of n= 6 scores, 5 of the scores are each above the mean by one point.

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Screen Recording 2024-05-10 at 7.52.53 PM

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2nd way: Evaluate ∫ 1/√(1-e^(2x)) dx

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2nd way: integral ∫x^2/(x^3 -2)^5 dx

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2nd way: exp integral ∫(e^(-x) - e^x)/(e^(2x) + e^(-2x) 2) dx

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Screen Recording 2024-05-06 at 11.50.00 PM

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Columbia U: 6th/6 ways Evaluate the indefinite integral ∫1/(1+e^x) dx

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Screen Recording 2024-05-19 at 9.53.16 PM

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Screen Recording 2024-05-19 at 9.47.07 PM

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