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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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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx
MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
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Swinburne U 2nd way: e^(-e^x) e^x dx
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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2nd way: integral ∫ log √x(x^n) dx
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trig Show 1/(1+cos(x)) = 1/2 sec^2(x/2)
3rd/3 ways: Express (4x-17)/((x+4)(2x-3)) in partial fractions via withOUT cover rule
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2nd way: Express (4x-17)/((x+4)(2x-3)) in partial fractions via
prob stat: A family has 2 children. What is the conditional prob that both are boys ...
#13 2011 MIT Integration Bee Qualifying Exam
2 ways: trig Prove the identity sin(2x)=2/(tan(x)+cot(x))
trig Write each expression as an equivalent algebraic expression involving only x.
trig Prove each identity ... 1) to 10)
2 ways: integral ∫ 1/(x^2 √(1+x^2)) dx
#16 2011 MIT Integration Bee Qualifying Exam