NYU: 2 ways compute log integral ∫ln(x) dx

Lamar U: Assume that x=x(t) & y=y(t) & differentiate the following equation wrt t

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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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logic Idempotent law show x=xVx

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🪔 Happy Deepavali 🪔 [Nov-12-2023]

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Review: Linear form, Quadratic form & Bilinear form

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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Rutgers U: 2nd way compute ∫√(x^2 -2)/x dx

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trig integral sin(x+sin(x))-sin(x-sin(x)) dx

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2nd way: derivative (x/a)^n/(n-1) + (y/b)^n/(n-1) = 1

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examples: 2x2 matrix which is its own inverse

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Screen Recording 2024-05-05 at 11.28.23 PM

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commutative: ab=ba via "picture"

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2nd way: ∫1/(√(1-x^2)(1+arc sin(x))^2) dx

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slope-intercept formula y=mx+c where m is slope & c is y-intercept

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exp integral ∫1/(e^(2x) - 25) dx

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trig integral ∫1/cos(ax+b) dx

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IGCSE 2023 p2 Add Math #4

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Screen Recording 2024-03-02 at 11.52.18 PM

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integral 1/(x (6(log^2(x)+7logx +2)) dx

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16.5.2: integral F(sqrt(a^2-x^2)) dx

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