Screen Recording 2024-05-11 at 8.53.58 PM

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

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

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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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2nd/2 parts: Mean 1+2+3+...+n is just (1+n)/2. Why?

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logic Idempotent law show x=xVx

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Review: Linear form, Quadratic form & Bilinear form

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trig Write each expression as an equivalent algebraic expression involving only x.

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

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

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2nd video: 🇪🇹Yemariam🇪🇹 [Draw a person with top hat with digits ...]

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2nd Alternate trig ∫integral sin(x) dx

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log derivative ln(x) via chain rule

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2 ways: sq root √x^x

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Alternate way: trig integral ∫cos(x) dx

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sq root derivative √x [Good to know the result]

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4th/4ways: trig derivative sin(x)

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2nd/4ways: trig derivative sin(x)

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3rd/3ways: exp Derivative x^x

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derivative (f(x))^n vs n^(g(x)) vs (f(x))^g(x)

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integral ∫(2x+3)/(4x^2+1) dx

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