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integral (a-x)/(b-x) dx

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Columbia U: 5th/6 ways Evaluate the indefinite integral ∫1/(1+e^x) dx
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Columbia U: 5th/6 ways Evaluate the indefinite integral ∫1/(1+e^x) 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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2nd way: trig integral ∫(sec(x) tan(x))/(sec^2(x)-sec(x)) dx
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2nd way: trig integral ∫(sec(x) tan(x))/(sec^2(x)-sec(x)) dx

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Let f(x,y)=4-2xx^2-y^2. Find the slope of the tangent line at the point (1,1,1) on the curve formed
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Let f(x,y)=4-2xx^2-y^2. Find the slope of the tangent line at the point (1,1,1) on the curve formed

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prob stat: One sample of n=4 scores has a mean of M=10, &
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prob stat: One sample of n=4 scores has a mean of M=10, &

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Find the 2nd-order partial derivatives of f(x,y)=2xy^2-3x^2+xy^3
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AP Calculus 4th way: exp ∫1/(1+e^x) dx via 3rd u-sub
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AP Calculus 4th way: exp ∫1/(1+e^x) dx via 3rd u-sub

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

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MIT Integration Bee Qual. Exam #9: integral (2logx+1)e^(log(x))^2 dx
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MIT Integration Bee Qual. Exam #9: integral (2logx+1)e^(log(x))^2 dx

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

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Discrete rv X has the following prob. distribution
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Discrete rv X has the following prob. distribution

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

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Derivative d(x^(arc sin(x))/d(arc sin(x))

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Review: integral ∫1/(x^2-a^2)dx vs integral ∫1/(a^2-x^2) dx vs integral ∫1/(x^2+a^2) dx
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Review: integral ∫1/(x^2-a^2)dx vs integral ∫1/(a^2-x^2) dx vs integral ∫1/(x^2+a^2) dx

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2 ways: Find the derivative y=a^x logb(x) Calculus
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2 ways: Find the derivative y=a^x logb(x) Calculus

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#12 UC Davis: Find the length of the graph for x=ln(y)=y^2/8 on the closed interval ...
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#12 UC Davis: Find the length of the graph for x=ln(y)=y^2/8 on the closed interval ...

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