Screen Recording 2024-05-06 at 11.55.08 PM

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Diff Eq: Solve sec(x) dy/dx=y+sin(x) via Integrating factor [IF]

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Diff Eq: Solve sec(x) dy/dx=y+sin(x) via Integrating factor [IF]

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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Swinburne U 2nd way: e^(-e^x) e^x dx

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Swinburne U 2nd way: e^(-e^x) e^x dx

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

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integral ∫ x dx withOUT using Power rule.

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Review: Linear form, Quadratic form & Bilinear form

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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

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Conversion: Permutation - Combination vice versa

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

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Screen Recording 2024-05-10 at 6.28.27 PM

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Screen Recording 2024-05-10 at 6.28.27 PM

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review: prob stat Population variance vs sample variance

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review: prob stat Population variance vs sample variance

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1st way: Differentiate the function w.r.t x log10(x)+logx(10)+logx(x)+log10(10)

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1st way: Differentiate the function w.r.t x log10(x)+logx(10)+logx(x)+log10(10)

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integration bee 2018 Swinburne integral (1-cos(x))/sin^2(x/2) dx

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integration bee 2018 Swinburne integral (1-cos(x))/sin^2(x/2) dx

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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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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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Show log b^n(x^m) = m/n logb(x)

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Show log b^n(x^m) = m/n logb(x)

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#Screen Recording 2024-05-13 at 10.52.38 PM

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log 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫ln(ln(x))/x dx

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log 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫ln(ln(x))/x dx

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Screen Recording 2024-05-13 at 9.55.17 PM

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Screen Recording 2024-05-13 at 9.55.17 PM

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