2nd way: exp integral e^3x/(e^x +2) dx withOUT u-sub

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

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logic: tautology (¬p→q)∧(¬p→¬q) →p

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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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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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

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🪔 Happy Deepavali 🪔 [Nov-12-2023]

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stat: SLR Properties of residuals

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

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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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UC Davis #10: count prove Σi = n(n+1)/2 where i=1 to n

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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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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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A random variable X has the following parameters: E(X)=a & Var(X)=2a^2-1 a∈R

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

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Evaluate these 7 integrals ...

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

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Lamar U Calculus: #14 integral ∫ [9sin^5(3x)-2cos^3(3x)] csc^4(3x) dx

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