Diff Eq: Solve (1+y^2)dx=(arc tan(y)-x)dy via integrating factor[IF]

Vertex Force Episode 1 English Sub

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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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2 ways: sq root derivative 1/(√√(1/√x))

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

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🪔 Happy Deepavali 🪔 [Nov-12-2023]

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logic Idempotent law show x=xVx

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

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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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prob stat: The speeds, to the nearest mile per hour,, of 120 vehicles passing a check point

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Suppose z is differentiable funtion of x & y that is defined implicitly x^2+y^3-z+2yz^2=5

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OSU Math 1151 Practice1: Compute the derivative (1)-(8)

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

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prob stat: The following frequency table gives the values obtained

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A cubical die, numbered 1 to 6 is weighted so that a six is twice as likely to occur as any other #.

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2nd/3part: Maclaurin Series [ahp kia]

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The sum of 3 numbers in AP is 15 & the sum of their squares is 3. Find the numbers.

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1st/2parts 3 ways: tn-1 + tn = n^2 where tn = nth triangular number

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Express the sum of the digits of the number (1000^20 - 20) in decimal notation

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