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Columbia U: 9th/9 ways Evaluate the indefinite integral ∫1/(1+e^x) dx withOUt u-sub
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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)
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exp Calculate ∫x^3 3^x dx via IBP
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integration bee 2018 Swinburne integral (1-cos(x))/sin^2(x/2) dx
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prob stat One of the longest words in std. statistics terminology is "HOMOSCEDASTICITY".
integration bee 2022 UNSW integral x^(ln(x)) 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.
1st way: Calculate integral ∫x^2 (x+1)^9 dx
2nd way: log sq rt integral ∫ln(x+1)/√(x+1) dx
prob stat: In how many ways can a hand of 4 cards be dealt from an ordinary pack of 52 playing cards
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prob stat: For events A & B it is known that P(A)=P(B), P(AnB)=0.1 & P(AuB)=0.7. Find P(A')
prob stat: For events A & B it is known that P(A)=2/3, P(AuB)=3/4 & P(AnB)=5/12. Find P(B)
log sq rt integral ∫√x ln(x) dx withOUT u-sub
1st way: integral ∫x^k ln(x) dx = x^(k+1)/(k+1) ln(x) - x^(k+1)/(k+1)^2 + C where C ≠ -1