2 ways: trig exp derivative e^(sin(x)) sin(e^x)

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

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lim x/e^x? as x→∞

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#3 UC Davis integrate ∫3/(4+x^(1/3)) dx via power sub

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prob stat: Show if y=ax+b where a & b are constants then ȳ = ax̄ + b

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sq root integral ∫1/√...√√x dx with n √

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Lamar U: Use log. differentiation to find the 1st derivative of the given function

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

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Rutgers U: Verify using calculus

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Rutgers U: 2nd way compute ∫√(x^2 -2)/x dx

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JHU: integral ∫t^3 e^(t^2) dt

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NYU: 3 ways ∫(1+ln(x))/x dx

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exp Evaluate these 4 integrals containing e^x ...

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

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Find the equation of the tangent line to the curve x^3-3y^3+xy+21=0 at the point (1,2)

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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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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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