derivative Find d2y/dx2 for this function y=ln(x)/(1-x)

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stat: SLR Properties of residuals

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stat: SLR Properties of residuals

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2nd way: integral ∫ log √x(x^n) dx

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2nd way: integral ∫ log √x(x^n) dx

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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

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

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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...

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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...

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2nd way: ∫1/(√(x-α)(x-β)) dx

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2nd way: ∫1/(√(x-α)(x-β)) dx

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3 ways: exp integral ∫ln(e^x) + ln(e^(-x)) dx

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2nd way: integral ∫ 1/(5x^2 -3x +7) dx with BONUS

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2nd way: integral ∫ 1/(5x^2 -3x +7) dx with BONUS

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

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

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derivative If y=e^(a arc sin(x)), prove that (1-x^2)y2 - xy1 = a^2y.

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derivative If y=e^(a arc sin(x)), prove that (1-x^2)y2 - xy1 = a^2y.

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2nd way: trig integral ∫1/(a+b sin(x)+c cos(x)) dx

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2nd way: trig integral ∫1/(a+b sin(x)+c cos(x)) dx

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Lamar U: #11 trig integral ∫csc^6(x/4) cot^4(x/4) dx

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Lamar U: #11 trig integral ∫csc^6(x/4) cot^4(x/4) dx

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Alternate way: derivative If y=e^(a arc sin(x)), prove that (1-x^2)y2-xy1=a^2y

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Alternate way: derivative If y=e^(a arc sin(x)), prove that (1-x^2)y2-xy1=a^2y

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#15 2022 MIT Integration Bee Qualifying Exam

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#15 2022 MIT Integration Bee Qualifying Exam

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

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

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#4 2022 2nd/2 ways: MIT Integration Bee Qualifying Exam

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1st/2 parts stat: SLR SLR Regression lline always goes through the point (x̄, ȳ)

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1st/2 parts stat: SLR SLR Regression lline always goes through the point (x̄, ȳ)

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2nd way: ∫(x+3)/(x^2+6x)^2 dx vs ∫(x+3)(x^2+6x)^2 dx

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2nd way: ∫(x+3)/(x^2+6x)^2 dx vs ∫(x+3)(x^2+6x)^2 dx

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derivative x^√x

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derivative x^√x

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