log derivative ln(x) via chain rule

Large sq made up of 100 smaller unit sq. Border of the large sq are colored red. WithOUT counting ..

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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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2nd way: derivative (x^x)^x

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Pantun Melayu [Sorong papan tarik papan]

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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx

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Swinburne U 2nd way: e^(-e^x) e^x dx

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3 ways: Derivative x^(-1/x)

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prob stat In a sample of n= 6 scores, 5 of the scores are each above the mean by one point.

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If y=a e^(mx) + b e^(-mx), show that y2=m^2y

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#12 2024 1st/2ways: MIT Integration Bee Qualifying Exam

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prob stat: 1st/2 parts. One sample has a mean of M=6 &

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1st/2 parts stat: SLR ∑ŷk = ∑yk where k=1,n

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3rd/3 ways: Express (4x-17)/((x+4)(2x-3)) in partial fractions via withOUT cover rule

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3 ways: rational function integral ∫(x^2+1)/(x-1)^3 dx

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NYU: compute integral ∫√(1+ √x) dx

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2 ways: ∫1/(x^2+2x-3) dx

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A bag contains 5 red balls & 3 green balls. A ball is selected at random &

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2nd way: trig integral ∫1/(cos^2(x) - sin^2(x)) dx

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Solve the differential equation xcos^2(y) dx + tan(y) dy=0

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