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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx
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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx
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2 ways: sq root derivative 1/(√√(1/√x))
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prob stat: 2 ways The mean of five #s 2,3,5,6,8 is 4.8. Calculate the std deviation.
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prob stat: A population of N=5 scores has a mean µ= 12. What is ∑X for this sample?
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A bag contains 5 red balls & 3 green balls. A ball is selected at random &
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prob stat In a sample of n= 6 scores, 5 of the scores are each above the mean by one point.
Find the expected value & the std deviation in the number of '6's when 20 dice are rolled.
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AP Calculus 2nd way trig ∫sin^3(x)/(cos(x)-1) dx
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prob stat: For the sample shown in the freq distribution table, what is the mode?
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Calculus: Find nth derivative of log(ax+b)
Prove that the following inner [scalar] product ...
prob stat a) Calculate the mean & the std deviation of 4 numbers 2,3,6,9
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Alternate way: inverse trig integral ∫e^(m arc tan(x))/(1+x^2) dx
Solve the differential equation xcos^2(y) dx + tan(y) dy=0
U Penn: Evaluate trig integral ∫(sin^2(x) -cos^2(x))/(sin(x)-cos(x))^2 dx