MIT Integration Bee Qual. Exam #1: integral x^(1/log(x)) dx

Let f(x,y)=4-2xx^2-y^2. Find the slope of the tangent line at the point (1,1,1) on the curve formed

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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(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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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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

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

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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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2nd way: lim ((1+h)^3-1)/x? as h →0

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2nd way: Evaluate integral ∫x^2/√(19-x^2) dx

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

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

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Calculus: If u=f(x+cy)+g(x-cy) then uxx / uyy ?

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2nd way: trig integral ∫1/(1+sec(x)) dx

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Find the expected value & the variance of a geometric r.v. X

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3 ways: exp integral ∫ln(e^x) + ln(e^(-x)) dx

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2nd way: integral ∫log n√(ax+b)(ax+b) dxx

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3 ways: If y=x/(1+x^2) find dy/dx.

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Evaluate these 7 integrals ...

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