2 ways of "counting": 1=1/2+1/4+1/8+1/16+ ...

Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

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Penn. State U: Suppose the p.m.f of discrete random variable X is ...

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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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3rd/3ways: sum Show 1+2+3+...+n = n(1+n)/2

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Bijection of elements in tn & a pair of elements of (n+1)

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Alternate way: ∫(5+2x)/(x+x^4)dx

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commutative: ab=ba via "picture"

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#6 2010 MIT Integration Bee Qualifying Exam

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trig integral ∫cot(x) log(sin(x)) dx

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2 ways: trig Show tan(2x)=2/(cot(x)-tan(x))

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