integral ∫(8x+12) (x^2+3x+1)^4 dx vs integral ∫(8x+12)/(x^2+3x+1)^4

2024 #3 MIT Integration Bee Final Lightning Round

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

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logic Idempotent law show x=xVx

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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(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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Review: Linear form, Quadratic form & Bilinear form

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

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

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example: Mean, Median & Mode

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Calculus: Find nth derivative of log(ax+b)

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What does SS tell us about a set of data? Under what circumstances will the value of SS equal 0?

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Three Kingdoms 2010 EP27

Meland

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5. Headline

Tanvir Rush

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prob stat: For the sample shown in the freq distribution table, what is the mode?

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AP Calculus: log ∫√x(√√x) da

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2 ways: Find the derivative y=a^x logb(x) Calculus

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

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GPT4: A tweet snippet from Michal Kosinski

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2nd way: trig integral ∫sin(x)/(a-bcos(x)) dx

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