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Which pairs are equivalent via truth table?
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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx
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2nd way: integral ∫ log √x(x^n) dx
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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Swinburne U 2nd way: e^(-e^x) e^x dx
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2nd way: derivative (x^x)^x
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Review: Linear form, Quadratic form & Bilinear form
A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...
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#6 2024 MIT Integration Bee Qualifying Exam
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2 way: exp integral e^(ax+b)/1+e^(ax+b)) dx
prob stat: The p.d.f of a discrete r.v. Y is given by P(Y=y)=cy^2 for y=0,1,2,3,4.
exp Calculate ∫x^3 3^x dx via IBP
If u=f(y/x) then prove that x∂u/∂x + y∂u/∂y = 0
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Which of the following do NOT constitute a set & WHY?
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picture "proof":Show Σk^2 = ΣΣmin(i,j) where i,j,k=1 to n
1st/2 way: Expand e^sin(x) by Maclaurin's Theorem
prob stat In a sample of n= 6 scores, 5 of the scores are each above the mean by one point.
#2 2024 MIT Integration Bee Qualifying Exam
2nd/2 ways: derivative x^2/3 + y^2/3 = a^2/3