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matrix example: How to select the column you want ...
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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
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logic Idempotent law show x=xVx
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Sum of the first n integers 1+2+3+ ...+n=n/2 (1+n) via Induction
NDA-2004 2nd way integral ∫(x-x^3)^1/3/x^4 dx
derivative If y=acos(log(x)) + bsin(log(x)), prove that x^2y2+xy1+y=0
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Alternate way: derivative If y=e^(a arc sin(x)), prove that (1-x^2)y2-xy1=a^2y
2 ways: trig integral ∫tan^3(x) sec^2(x) dx
A bag contains 20 identical red marbles, 20 identical green marbles, & 20 identical blue marbles.
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2nd/2 parts: Mean 1+2+3+...+n is just (1+n)/2. Why?
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derivative: If x=cos(log(y)), show that (1-x^2)y2 - xy1 = y
2nd/2ways: Taylor series of sin(x)
2nd/2ways: Evaluate lim sin(5x)/sin(9x) as x tends 0
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[English] How Chinese Parents Turn Their Kids into Math Prodigies