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#4 2017 MIT Integration Bee Qualifying Exam
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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)
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logic Idempotent law show x=xVx
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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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Penn. State U: Suppose the p.m.f of discrete random variable X is ...
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
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GPT4: A tweet snippet from Michal Kosinski
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Find r, if 5 4Pr = 6 5(r-1)
Show ∫1/(a+btan(x)) dx = ...
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2 ways: derivative √(x+1) √(x-1)
prob stat: The following frequency table gives the values obtained
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logic: Simplify the Boolean function F=AB+BC+B'C
logic: Show p→q ≡¬ p∨q
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logic: Simplify the Boolean function F=AB+(AC)'+AB'C(AB+C)
Home organic vegetables
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#5 2020 MIT Integration Bee Quali Exam: integral 1/(x^2+(x-1)^2) dx
sum picture proof show 1^2+2^2+3^2+...+n^n=1/3 1/2n(1+n) (2n+1)
3 ways: sum Show 1+3+5+...nth term = n^2