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Screen Recording 2024-05-13 at 9.18.43 PM

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Screen Recording 2024-05-13 at 9.18.43 PM

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

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logic: tautology (¬p→q)∧(¬p→¬q) →p

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logic: tautology (¬p→q)∧(¬p→¬q) →p

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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx

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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx

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

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

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

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

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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

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

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2nd way: derivative (x^x)^x

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2nd way: derivative (x^x)^x

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Review: Linear form, Quadratic form & Bilinear form

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Review: Linear form, Quadratic form & Bilinear form

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

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

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#22 2019 MIT Integration Bee Final

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#22 2019 MIT Integration Bee Final

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Show d/d(x/(x+1)) = d/dx(-1/(x+1)) ...

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Show d/d(x/(x+1)) = d/dx(-1/(x+1)) ...

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

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

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NUS MA1102R: Find ALL second-order partial derivatives of f(x,y) = x^2 y -y^3 + ln(x)

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NUS MA1102R: Find ALL second-order partial derivatives of f(x,y) = x^2 y -y^3 + ln(x)

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2nd way: derivative ∫log (f(x))^g(x) (p(x))^r(x)

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2nd way: derivative ∫log (f(x))^g(x) (p(x))^r(x)

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Always ZERO

3:42

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#13 2011 MIT Integration Bee Qualifying Exam

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#13 2011 MIT Integration Bee Qualifying Exam

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#10 2024 MIT Integration Bee Qualifying Exam

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#10 2024 MIT Integration Bee Qualifying Exam

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