#9 MIT 2022 Integration Bee Qualifying Exam

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

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logic Idempotent law show x=xVx

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Review: Linear form, Quadratic form & Bilinear form

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

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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx

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Bijection of elements in tn & a pair of elements of (n+1)

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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

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#12 2014 MIT Integration Bee Qualifying Exam

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#24 2010 MIT Integration Bee Qualifying Exam

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Eps_1 penyihir pengembali seharusnya istimewa musim 2

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Eps_1 om" burung pipit isekai dan para loli yandere musim 2

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haja

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black magic

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UC Davis P#6: 2nd way differentiate y= (√x)^(√x) e^(x^2)

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UC Davis #14: integral ∫x √(4-x) dx

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UC Davis #10: count prove Σi = n(n+1)/2 where i=1 to n

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Alternate way: 2nd picture Show 1+3+5+...+(2n-1)=n^2

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2.5 ways: trig derivative x sin(x) cos(x)

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COMMON MISTAKE: (1) logb(m) logb(n) ≠ logb(m+n)

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