2 ways: Show logb^n(a)=1/n logb(a)

JRP Sweater and JRP Grey!

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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 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx

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

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Screen Recording 2024-05-05 at 11.22.54 PM

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Screen Recording 2024-05-12 at 8.48.55 PM

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

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UC Davis #10: count prove Σi = n(n+1)/2 where i=1 to n

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Screen Recording 2024-05-06 at 11.55.08 PM

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Screen Recording 2024-05-11 at 8.58.53 PM

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2nd/2parts example Show Σk^2 = ΣΣmin(i,j) where i,j,k=1 to n

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sum Find 1/1.4 + 1/4.7 +1/7.10+... +1/((3n-2)(3n+1))

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2024 MIT Integration Bee Final

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logic: Show p→q ≡¬ p∨q

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*Screen Recording 2024-05-05 at 11.12.45 PM

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integration bee 2014 UNSW 3rd way: e^x(cos(x)+sin(x)) dx

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1st/2parts: Linear interpolation (2 given points)

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Screen Recording 2024-05-10 at 5.37.05 PM

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Lamar U: Derivatives of Exponential & Log Functions Assignment Problems.

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