2Screen Recording 2024-05-17 at 6.10.36 PM

2 ways: exp derivative a^(logb(cos(px+q))

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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

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2nd/3ways: trig integral ∫sec(x) dx

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lim x/e^x? as x→∞

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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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Screen Recording 2024-05-10 at 6.28.27 PM

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multivariable partial Let w=2x^2 y, where x=u^2+v^2 & y=u^2-v^2. Find ∂w/∂u & ∂w/∂v.

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Evaluate these 7 integrals ...

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Solve the differential equation xcos^2(y) dx + tan(y) dy=0

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Screen Recording 2024-05-11 at 9.05.02 PM

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Screen Recording 2024-05-11 at 8.58.53 PM

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Screen Recording 2024-05-10 at 5.37.05 PM

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Let B be the mx1 col. matrix [1/m ... 1/m]'. If A =[a1 ... am] is any row matrix. What is AB?

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2nd video: 🇪🇹Yemariam🇪🇹 [Draw a person with top hat with digits ...]

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If pv^a=C (where a & C are constant) find dv/dp & d2v/dp2

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Screen Recording 2024-05-12 at 9.04.39 PM

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2 ways: integral ∫ (4t+7) dt

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