#8 Lamar U: evaluate integral sec^8(t/2) tan^5(t/2) dt

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

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

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

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2 ways: sq root derivative 1/(√√(1/√x))

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AP Calculus 2nd way: integral ∫(1-√x)/(1+√x) dx

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5 ways: integral ∫a^(px+q) dx

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#6 2024 MIT Integration Bee Qualifying Exam

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2nd way: ∫1/(√(x-α)(x-β)) dx

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Lamar U 2nd way: evaluate trig integral ∫17(xe^x+e^x)sin(e^x)-14sin(x) dx

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1st/2 parts stat: SLR SLR Regression lline always goes through the point (x̄, ȳ)

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derivative (f(x))^n vs n^(g(x)) vs (f(x))^g(x)

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2nd way: ∫(x+3)/(x^2+6x)^2 dx vs ∫(x+3)(x^2+6x)^2 dx

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2nd way: trig integral ∫(sec(x) tan(x))/(sec^2(x)-sec(x)) dx

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If pv^a=C (where a & C are constant) find dv/dp & d2v/dp2

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#22 2019 MIT Integration Bee Final

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2nd way: trig integral ∫1/(a+b sin(x)+c cos(x)) dx

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Rutgers U: 2nd way compute ∫√(x^2 -2)/x dx

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Screen Recording 2024-02-16 at 9.14.39 PM

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UC Davis: #9 exp integral ∫x 3^(x^2+1) dx

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