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logic Idempotent law show x=xVx
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3 ways: Derivative x^(-1/x)
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1st way: exp ∫(e^x)/x (1+x log(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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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
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Review: Linear form, Quadratic form & Bilinear form
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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...
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Swinburne U 2nd way: e^(-e^x) e^x dx
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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx
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Pantun Melayu [Pulau Pandan Jauh Ke Tengah]
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Polite number
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Kaavalan
2 ways: 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫3x/((x-2)(x+1)) dx
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1st/2ways: add math sum a + (a+d) + (a+2d) + ... + (a+(n-1)d) ?
prob stat: A bag contains 5 red balls & 3 green balls. A ball is drawn at random &
3 ways: rational function integral ∫(x^2+1)/(x-1)^3 dx
example: Mean, Median & Mode
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2 ways: Find the derivative y=x^n logb(x)
Find the number of subsets {1,{2,3}}
U Arizona: For each integral decide which of the following is needed: