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2nd way: trig integral (3-tan^2(x))/(cot(x)-3tan(x)) dx
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2nd/3ways: trig integral ∫sec(x) dx
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lim x/e^x? as x→∞
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CMU integral ∫1/(x^2 √(16x^2 -19)) dx
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prob stat: 1st/2 parts. One sample has a mean of M=6 &
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Find the power set of each of the following sets ...
Review: Multiplying each obs. by a CONSTANT results in new variance =
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UNSW Integration Bee 2022: integral tan^3(1+ln(x))/x dx
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2010 #2 MIT Integration Bee
#3 2024 MIT Integration Bee Qualifying Exam
Find the 2nd-order partial derivatives of f(x,y)=2xy^2-3x^2+xy^3
partial Let f(x,y,z)=x e^(yz). Compute fxzy & fyxz.
1) integral ∫ 1/(1+x^2) dx 2) integral ∫ e^x/(1+e^(2x)) dx 3) integral ∫ cos(x)/(1+sin^2(x)) dx
JHU: integral ∫t^3 e^(t^2) dt
A cubical die, numbered 1 to 6 is weighted so that a six is twice as likely to occur as any other #.
If y=a e^(mx) + b e^(-mx), show that y2=m^2y
prob stat: The prob. that it will snow tomorrow is 0.75.
2nd way: ∫cos(x)/√(sin^2(x)+4sin(x)+3) dx
UC Davis: 2nd way integral (2x+3)/(x^2 - 9) dx
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