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

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

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

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

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

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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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exp integral ∫10^x e^(10x) dx

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stat: SLR Properties of residuals

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Find the expected value & the variance of a geometric r.v. X

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2nd way: integral ∫ 1/(5x^2 -3x +7) dx with BONUS

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Discrete rv X has the following prob. distribution

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#15 2022 MIT Integration Bee Qualifying Exam

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#13 2011 MIT Integration Bee Qualifying Exam

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Show integral 1/(x(x^2+a^2)) dx = 1/(2a^2) ln(x^2/(x^2+a^2))

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prob stat In a sample of n= 6 scores, 5 of the scores are each above the mean by one point.

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Review: integral ∫1/(x^2-a^2)dx vs integral ∫1/(a^2-x^2) dx vs integral ∫1/(x^2+a^2) dx

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#2 2023 MIT Integration Bee Qualifying Exam

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#17 2010 MIT Integration Bee Qualifying Exam

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prob stat: 10 people have a potluck. 5 peoplle will be selected to bring a main dish,

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

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