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

2 ways: derivative √(x+1) √(x-1)

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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx

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2nd way: integral ∫ log √x(x^n) dx

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

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

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2nd way: trig integral ∫ 1/( √3 sin(x) + cos(x)) dx

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Show integral ∫x √(ax+b) dx = 2(3ax-2b)√(ax+b)^3 /(15a^2)

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Columbia U: 9th/9 ways Evaluate the indefinite integral ∫1/(1+e^x) dx withOUt u-sub

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integration bee 2018 Swinburne U integral x^2/2 ln(2/x^2) dx

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#13 2010 MIT Integration Bee Qualifying Exam

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UC Davis: 2nd way differentiate y=(sin(x))^(x^3)

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#6 2014 MIT Integration Bee Qualifying Exam

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2nd way: trig integral ∫ 1/(3+4sin^2(x)) dx

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Screen Recording 2024-02-16 at 8.27.04 PM

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6th form Pure Math: Evaluate the integrals

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Wu He Qilin's new artwork "BAT": Gotham is empty, and the Joker is by my side [The Sarcastic Pumpkin

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Growing patterns #3

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海西新药：热炒，希望，与你的行动方案

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[English] Different Cultural Ways of Showing Off Wealth

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