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logic Idempotent law show x=xVx
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Pantun Melayu [Sorong papan tarik papan]
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prob stat: A fair 6-sided dice, with sides numbered 1,1,2,2,3,55 is thrown.
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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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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx
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Pantun Melayu [Buah cempedak di luar pagar]
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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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2 ways: trig integral ∫tan^3(x) sec^2(x) dx
Lamar U 2nd way: evaluate trig integral ∫17(xe^x+e^x)sin(e^x)-14sin(x) dx
Lamar U 2nd way: evaluate exp integral ∫e^(2x)/(1+e^(2x)) dx
IIT-1995 2nd way integral ∫x^5/(1+x^3) dx
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2nd way: trig integral ∫√(sec^5(x)/sin^3(x)) dx
Lamar U: Use log. differentiation to find the 1st derivative of the given function
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Sum of the first n integers 1+2+3+ ...+n=n/2 (1+n) via Induction
Fill in each blank using either mean or median.
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prob stat: Consider the experiment of tossing a fair coin twice & reading the up face on each toss.
Lamar U 2nd way: evaluate exp integral ∫e^(8x)(4+e^(4x))^(-3) dx
Purdue U: 2 ways Evaluate ∫2/(x (x-1)) dx where x=3 to 4
2 ways: integral ∫(a^2-x^2) dx