2 ways: derivative x √√x

UC Davis #6 integral e^x(1+2e^x)^4 dx

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

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

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1st/3parts: Checkpoint 1.1 STPM Math T Sem2

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

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

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

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Review: Linear form, Quadratic form & Bilinear form

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#14 2014 MIT Integration Bee Qualifying Exam

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prob stat: Compute Var(X) when X represents the outcome when we roll a fair die.

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#4 2017 MIT Integration Bee Qualifying Exam

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5 ways: integral ∫a^(px+q) dx

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UC Davis#4 4 ways: integrate 7^(2x+3) dx

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2nd way: ∫cos(x)/√(sin^2(x)+4sin(x)+3) dx

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2nd way: sq rt integral ∫(√x)/(x+1) dx

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

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#17 2022 MIT Integration Bee Qualifying Exam

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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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trig integral ∫x/(1+x) dx vs ∫cos(x)/(1+cos(x)) dx

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Screen Recording 2023-12-07 at 2.09.05 AM

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