#16 2019 MIT Integration Bee Final

Screen Recording 2024-05-05 at 11.28.23 PM

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

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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Solve the following differential equation cos^2(x)dy/dx +y = tan(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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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

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Review: Linear form, Quadratic form & Bilinear form

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integral ∫ x dx withOUT using Power rule.

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diff eq: Solve dy/dx = (2y4x^4)/(xy^3) ❌separable to ✅separable

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AI Creation: Grab Another Gun!

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Screen Recording 2024-05-13 at 9.18.43 PM

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Lamar U 2nd way: evaluate trig integral ∫17(xe^x+e^x)sin(e^x)-14sin(x) dx

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AP Calculus 2nd way: trig integral ∫sin^2(x) cos^2(x) dx

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The pth, qth, & rth terms of an AP are x,y,z respectively.

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Columbia U: 1st way integral ∫√(x^2-9)/x^4 dx

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

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Evaluate these 9 integrals containing ...

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STPM Math T Sem. 2: Ex 11.2 Given that f(x)=tan(x), show that ...

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logic: Simplify the Boolean function F=AB+(AC)'+AB'C(AB+C)

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