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1) integral ∫ 1/(1+x^2) dx 2) integral ∫ e^x/(1+e^(2x)) dx 3) integral ∫ cos(x)/(1+sin^2(x)) dx
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
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Swinburne U 2nd way: e^(-e^x) e^x dx
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Review: Linear form, Quadratic form & Bilinear form
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Pantun Melayu [Sorong papan tarik papan]
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prob stat The events A & B are s.t P(A)=5/12, P(B)=2/3 & P(A' n B')=1/12.
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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.
prob stat: 2 ways Joe's mean mark for the physics tests for the term was 72.
A cubical die, numbered 1 to 6 is weighted so that a six is twice as likely to occur as any other #.
2nd way: integral ∫x^k ln(x) dx = x^(k+1)/(k+1) ln(x) - x^(k+1)/(k+1)^2 + C where C ≠ -1
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AP Calculus: log ∫√x(√√x) da
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prob stat a) Calculate the mean & the std deviation of 4 numbers 2,3,6,9
Columbia U: 3rd way Evaluate the indefinite integral ∫1/(1+e^x) dx
NDA-2004 2nd way integral ∫(x-x^3)^1/3/x^4 dx
prob stat: Events A & B are s.t P(A)=.3, P(B)=0.4, P(A n B)=0.1. Find a) P(AnB') b)P(A' n B')
2nd video: 🇪🇹Yemariam🇪🇹 [Draw a person with top hat with digits ...]
2 ways: integral ∫ 5x dx
prob stat: In how many ways can a hand of 4 cards be dealt from an ordinary pack of 52 playing cards