2nd way: integral ∫(6+4x--2x^2) dx via 1) complete sq 2) then trig. sub

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

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

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(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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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 2024-05-12 at 9.04.39 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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integration bee 2018 Swinburne U integral x^2/2 ln(2/x^2) dx

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AP Calculus: log ∫√x(√√x) da

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

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

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2 ways: integral ∫ (4t+7) dt

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1)integral ∫ x dx 2)integral ∫ ln(x)/x dx via inspection [NO u-sub]

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Screen Recording 2024-05-11 at 8.58.53 PM

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Find the number of digits in a number? (118^118)

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#20 2022 MIT Integration Bee Qualifying Exam

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

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