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Трое из Простоквашино
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Bijection of elements in tn & a pair of elements of (n+1)
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2nd/3ways: trig integral ∫sec(x) dx
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integral ∫ x dx withOUT using Power rule.
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Снеговик почтовик
trig integral ∫1/(√sin(x) √cos^7(x)) dx
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Жихарка
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2nd way: rational function integral ∫x^3/√ (1+x^2) dx
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4th way: rational function integral ∫x^3/√ (1+x^2) dx
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Каникулы в Простоквашино
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integral ∫√(x-a)/x dx
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Зима в Простоквашино
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Find the power set of each of the following sets ...
sum Find 1/1.4 + 1/4.7 +1/7.10+... +1/((3n-2)(3n+1))
Alternate way: trig integral ∫cot(x) csc^6(x) dx ... just in 1 line.
Columbia U: 1st way integral ∫√(x^2-9)/x^4 dx
2nd way: derivative x^n w.r.t. n^x