3ways: Find a formula for the sum 2+4+6+...+2n

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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[January 2023 / Feng Aotian / Akari Kitou] The Hero King Reincarnates to Pursue the Ultimate Martial

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Review: Linear form, Quadratic form & Bilinear form

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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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【January 2023】The Magical Revolution of the Reincarnated Princess and the Genius Young Lady PV3 [MCE

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4 ways: sum Find the sum of the values of 4+3i for i=1,2,...,100

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Screen Recording 2024-05-12 at 8.48.55 PM

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2 ways: diff eq Solve dy/dx=y-1

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1st/2 ways: nPn, nP(n-1), nP(n-2)

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2 ways: Derivative √ (1+√ (1+√ x)))

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2nd/2ways: r-Permutations

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We lost original x's but still know mean x̄ & n. Now we collected m new observations.

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exp integral ∫10^x e^(10x) dx

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IGCSE 2023 p2 Add Math #4

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diff eq: Solve dy/dx = (2y4x^4)/(xy^3) ❌separable to ✅separable

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trig integral Find cos^2(x) sin(x) dx

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trig integral ∫1/(cos(x)(1+cos(x)) dx

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