Screen Recording 2024-05-13 at 10.57.28 PM

Lamar U: trig integral ∫cos^5(2t) sin^2(2t) dt

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

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

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Review: Linear form, Quadratic form & Bilinear form

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

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1st way: exp ∫(e^x)/x (1+x log(x)) 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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exp integral ∫10^x e^(10x) dx

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Screen Recording 2023-12-02 at 3.42.17 AM

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Which of the following do NOT constitute a set & WHY?

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

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sum picture proof show 1^2+2^2+3^2+...+n^n=1/3 1/2n(1+n) (2n+1)

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8Screen Recording 2023-12-07 at 1.55.57 AM

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Find the expected value & the variance of a geometric r.v. X

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9Screen Recording 2023-12-07 at 1.54.08 AM

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3 ways: Derivative x^(-1/x)

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UC Davis: integrate sin(x)/(1+sin(x)) dx

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2nd way: integral ∫ (x^2+b)^3 dx

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