#12 2024 1st/2ways: MIT Integration Bee Qualifying Exam

2nd video: 🇪🇹Yemariam🇪🇹 [Draw a person with top hat with digits ...]

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

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Pantun Melayu [Buah cempedak di luar pagar]

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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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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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

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Review: Linear form, Quadratic form & Bilinear form

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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...

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2 ways: integral ∫(x-a)/(x+a) dx

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Screen Recording 2024-05-05 at 11.22.54 PM

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Screen Recording 2024-05-10 at 6.17.33 PM

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alternate way: count sum 1+2+3+ ... +n

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prob stat: Find the weighted mean of the numbers 8 &12, if they are ...

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exp integral e^x (f(x) + f'(x)) dx

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trig integral ∫cot(x) log(sin(x)) dx

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review: prob stat Population variance vs sample variance

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derivative log f(g(x)) (a)

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1st/2ways: permutation Show P(n,2)+P(n,1)=n^2

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examples: 2x2 matrix which is its own inverse

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