#5 2020 MIT Integration Bee Quali Exam: integral 1/(x^2+(x-1)^2) dx

Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

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🪔 Happy Deepavali 🪔 [Nov-12-2023]

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2nd way: integral ∫ log √x(x^n) dx

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2 ways: sq root derivative 1/(√√(1/√x))

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1st/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via median.

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Review: Linear form, Quadratic form & Bilinear form

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#12 2024 1st/2ways: MIT Integration Bee Qualifying Exam

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prob stat: The p.d.f of a discrete r.v. Y is given by P(Y=y)=cy^2 for y=0,1,2,3,4.

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#2 2011 MIT Integration Bee Qualifying Exam

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#12 2012 MIT Integration Bee Qualifying Exam

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#12 2024 MIT Integration Bee Qualifying Exam

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2nd way: trig log Evaluate 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫sec(x)/ln(sec(x)+tan(x)) dx

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1st/2 parts stat: SLR SLR Regression lline always goes through the point (x̄, ȳ)

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Show that the function u(x,y)=e^x cos(y) is harmonic in the x-y plane

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#16 2014 MIT Integration Bee Qualifying Exam

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#14 2011 MIT Integration Bee Qualifying Exam

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Lamar U 2nd way: evaluate trig integral ∫csc(x/2) cot(x/2)(csc^6(x/2)+3csc^4(x/2)-8csc(x/2)) dx

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2nd way: integral ∫x^(n-1) /(a-bx^n) dx

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Matriculation & Calculus: Show if y=f(x) g(x) h(x) k(x)

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Rutgers U 2nd way: trig integral ∫sin^5(x) dx

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