2nd/3ways: derivative If f(x)=(x-a)(x-b)(x-c), show f'(x)/f(x)=1/(x-1)+1/(x-b)+1/(x-c)

A prison 100 years from now—robots finally get electronic handcuffs....

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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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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 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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tom and Jerry

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“The Return of the Shadow: In the Heart of an Ancient Blood Furnace — Aztec Batman: Clash of Empires

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4th way: rational function integral ∫x^3/√ (1+x^2) dx

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IIT-1995 2nd way integral ∫x^5/(1+x^3) dx

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3rd way: rational function integral ∫x^3/√ (1+x^2) dx

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prob stat: 2 ways The mean of five #s 2,3,5,6,8 is 4.8. Calculate the std deviation.

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prob stat: x̄=∑xk where k=1,2,3,...,n?

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Simplify the following statements using only the connectives ∧, ∨ and ¬

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Screen Recording 2024-05-10 at 6.19.39 PM

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STPM Math T Sem.2: 12.1 Numerical solution of Equations

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1) integral ∫ 1/(1+x^2) dx 2) integral ∫ e^x/(1+e^(2x)) dx 3) integral ∫ cos(x)/(1+sin^2(x)) dx

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Screen Recording 2024-05-05 at 11.28.23 PM

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Screen Recording 2024-02-22 at 10.30.06 PM

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#6 2024 MIT Integration Bee Qualifying Exam

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