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prob stat: Two events are such that P(A)=0.6, P(B)=0.5 & P(AUB)=0.85
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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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Columbia U: 5th/6 ways Evaluate the indefinite integral ∫1/(1+e^x) dx
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NYU: 2nd way compute log integral ∫1/x ln(x) dx
derivative 2 ways: Find dy/dx if x-y=π
2 ways: derivative (ax+b)^n
Let f(x,y)=4-2xx^2-y^2. Find the slope of the tangent line at the point (1,1,1) on the curve formed
"My laughter is killing me. This version of Bye Bye Bye is outrageous!"
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2.5 ways: trig derivative x sin(x) cos(x)
AP Calculus 4th way: exp ∫1/(1+e^x) dx via 3rd u-sub
picture "proof":Show Σk^2 = ΣΣmin(i,j) where i,j,k=1 to n
prob stat: One sample of n=4 scores has a mean of M=10, &
3 ways: trig 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫sin(ax+b) dx
2nd way: trig integral ∫(sec(x) tan(x))/(sec^2(x)-sec(x)) dx
2 ways: Find the derivative y=x^n logb(x)
Find the 2nd-order partial derivatives of f(x,y)=2xy^2-3x^2+xy^3
STPM Math T: trig double angle Express cos(2x) & sin(2x) in terms of tan(x)
2nd way: derivative x w.r.t x^x. [YES, d(x)/d(x^x)!]
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exp derivative ((x^m)^n)^0