Screen Recording 2024-05-10 at 5.46.26 PM

2024 #3 MIT Integration Bee Final Lightning Round

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logic Idempotent law show x=xVx

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

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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx

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trig Write each expression as an equivalent algebraic expression involving only x.

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Review: Linear form, Quadratic form & Bilinear form

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exp Differentiate (i) b^e^x (ii) b^x&e (iii) (b^e)^x (iv) (b^x)^e

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prob stat: One sample of n=4 scores has a mean of M=10, &

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2024 MIT Integration Bee Final

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The sum of 3 numbers in AP is 15 & the sum of their squares is 3. Find the numbers.

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2nd way trig integral ∫(1-tan(x))/(1+tan(x)) dx

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2nd way: integral ∫p^(nx) q^x dx

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UC Davis#2: 2nd way integral ∫(2x+3)/(x^2-9) dx [integration by partial fraction]

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Lamar U: Assume that x=x(t) & y=y(t) & differentiate the following equation wrt t

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alternate way: ∫ √(x^2+a^2 )dx via "expressing in 2 ways"

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

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U Penn: Evaluate trig integral ∫(sin^2(x) -cos^2(x))/(sin(x)-cos(x))^2 dx

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#19 2011 MIT Integration Bee Qualifying Exam

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181.A flirt queen transmigrates to the 80s She teases her innocent and abstinent military husband.!

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Amaya & Ben integrated (1+x)^2 wrt x using different methods as follows ...

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