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

#10 2023 MIT Integration Bee Qualifying Exam

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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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2nd way: integral ∫x/(2ax-x^2) dx

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#3 UC Davis integrate ∫3/(4+x^(1/3)) dx via power sub

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What is the mode for the following set of n=8 scores? Scores: 2,4,4,5,7,8,8,8

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Lamar U: trig integral ∫cos^5(2t) sin^2(2t) dt

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Lamar U 2nd way: evaluate exp integral ∫e^(8x)(4+e^(4x))^(-3) dx

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UC Davis: #7 trig log integral sin(ln(x))/x dx

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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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3 ways: exp integral ∫ln(e^x) + ln(e^(-x)) dx

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AP Calculus: 2nd way integral log √x (√√x) dx

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UC Davis: #11 exp trig ∫cos(5x)/e^sin(5x) dx

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#3 2023 MIT Integration Bee Qualifying Exam

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Lamar U 2nd way: evaluate exp integral ∫e^(2x)/(1+e^(2x)) dx

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

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2 ways: trig integral ∫1/(2+cos^2(x)) dx

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