NYU: 2 ways compute log integral ∫ln(x) dx

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

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

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logic Idempotent law show x=xVx

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

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🪔 Happy Deepavali 🪔 [Nov-12-2023]

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logic: tautology (¬p→q)∧(¬p→¬q) →p

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

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NUS MA1102R: Find ALL second-order partial derivatives of f(x,y) = x^2 y -y^3 + ln(x)

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Lamar U: Assume that x=x(t) & y=y(t) & differentiate the following equation wrt t

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

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Solve the differential equation cos^2(y) dx +(1+e^(-x) sin(y) dy=0

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Evaluate these 7 integrals ...

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ABC Song for Kids | Learn A to Z Alphabet | Fun Nursery Rhymes for Toddlers

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Mommy's Walking to the Market 👶 LooLoo Kids Nursery Rhymes & Children Songs

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AP Calculus 2nd way: integral ∫(1-√x)/(1+√x) dx

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Lamar U 2nd way: evaluate exp integral ∫e^(2x)/(1+e^(2x)) dx

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multivariable partial Let w=2x^2 y, where x=u^2+v^2 & y=u^2-v^2. Find ∂w/∂u & ∂w/∂v.

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alternate way: count sum 1+3+5+ ... +(2n-1)

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Conversion: Permutation - Combination vice versa

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Amaya & Ben integrated (1+x)^2 wrt x using different methods as follows ...

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