1st/2 ways[Direct]: Prove that the sum of 2 ODD numbers is ALWAYS EVEN

2 ways: integral ∫(x-a)/(x+a) dx

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logic Idempotent law show x=xVx

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

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Pantun Melayu [Pulau Pandan Jauh Ke Tengah]

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A bag contains 20 identical red marbles, 20 identical green marbles, & 20 identical blue marbles.

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Screen Recording 2024-05-18 at 11.12.27 PM

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2nd/2ways: Taylor series of sin(x)

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

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matrix example: How to select the column you want ...

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Screen Recording 2024-05-18 at 10.21.39 PM

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Sum of the first n integers 1+2+3+ ...+n=n/2 (1+n) via Induction

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derivative: If x=cos(log(y)), show that (1-x^2)y2 - xy1 = y

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NDA-2004 2nd way integral ∫(x-x^3)^1/3/x^4 dx

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derivative If y=acos(log(x)) + bsin(log(x)), prove that x^2y2+xy1+y=0

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1st/2ways: Evaluate lim sin(5x)/sin(9x) as x tends 0

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

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prob & stat: Show ...

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Na Tum Jaano Na Hum by by Saif Ali Khan, Hrithik Roshan & Esha Deol (2002)

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2 ways: trig integral ∫tan^3(x) sec^2(x) dx

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2nd/2ways: Evaluate lim sin(5x)/sin(9x) as x tends 0

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