Screen Recording 2024-05-11 at 8.48.24 PM

AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(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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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx

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

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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

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logic Idempotent law show x=xVx

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

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Alternate way: trig integral ∫sec(x) dx= ln(tan(/π4+x/2)) + c

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2nd/2 ways: FInd partial fractions (3x^2+9x-20)/(x^2+x-6)

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1st way: Differentiate the function w.r.t x log10(x)+logx(10)+logx(x)+log10(10)

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integral Find ∫1/(9-4x^2) dx

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2nd/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via "picture".

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integral Find ∫ x^4 log(x) dx

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2 ways: derivative Find dy/dx, where tan(x+y)+tan(x-y)=1

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2nd/2ways: trig Evaluate (sin^6(x) + cos^6(x))/(sin^2(x) cos^2(x)) dx

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NEW MOVIE 2025

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1st/3parts: Mean of 1,2,3,...,n SAME as Mean 1,n

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3 ways: exp trig Differentiate the function a^sin(√x)

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