#5 MIT 2022 Integration Bee Qualifying Exam

Quickie: 6169^2 - 2331^2?

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

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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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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx

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2 ways: The following measurements were taken by an antique dealer as he weighted to the ...

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Pantun Melayu [Sorong papan tarik papan]

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exp integral e^2x/(1+e^x) dx

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Example: Find the sum

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3rd/3 ways: Alternate way: Given 2 points, find equation of st line passing the ..

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Show that ar sinh(x) = ln(x + √ (x^2+1))

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exp integral ∫a^(√√x^3)/√√x dx

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1st/2parts: 2 (elementary) rules

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2nd example: Find the sum -0.31, -0.19, -0.07, 0.05, 0.17, 0.29 via median

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Diff Equ: Solve y-xdy/dx=b(1+x^2dy/dx)) via integrating factor [IF]

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A function f is called even if f(-x)=f(x) for ALL x in the domain of f &

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sq root integral ∫1/√...√√x dx with n √

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STPM Math T: trig double angle Express cos(2x) & sin(2x) in terms of tan(x)

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2 ways: sq root √x^x

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