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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx
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prob stat: A normal 6-sided dice is rolled. What is the prob. that the first '6' occurs:
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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...
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Penn. State U: Suppose the p.m.f of discrete random variable X is ...
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2nd way: exp integral ∫x^x^2 x(2ln(x)+1) dx
Evaluate these 7 integrals ...
2nd way: exp integral ∫ dx/x^2014 /(1+1/x^2013)
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matrix example: How to select the ROW you want ...
Find the equation of the tangent line to the curve x^3-3y^3+xy+21=0 at the point (1,2)
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1st/2ways: permutation Show P(n,2)+P(n,1)=n^2
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CMU trig integral ∫sin^6(x) cos^3(x) dx
Evaluate |x|/x for a)x gt 0 b) x lt 0
sq root integral ∫1/√√x dx
2nd/2ways: count perm Show P(n,n)=P(n,n-1)
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prob stat Toss a pair of fair 6-sided dice. The sample space has 36 outcomes.
exp Evaluate these 4 integrals containing e^x ...
2nd way: ∫2x/(x+5)^6 dx vs ∫2x (x+5)^6 dx
exp integral e^x (f(x) + f'(x)) dx
Do you know ... paper folding ...
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