AP Calculus 4th way: exp ∫1/(1+e^x) dx via 3rd u-sub

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

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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(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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JHU: integral ∫t^3 e^(t^2) dt

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When a die was thrown the scores was an odd #. What is the prob. that it was a prime #?

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Screen Recording 2024-02-22 at 10.18.05 PM

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Screen Recording 2024-02-22 at 10.09.39 PM

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

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UC Davis #22 [THE INTEGRATION OF RATIONAL FUNCTIONS] withOUT u-sub

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AP Calculus: 2nd way integral log √√x (x) dx

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Columbia U: 2nd way integral Find ∫1/(x √(9-x^2)) dx withOUT trig-sub

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U Penn: Show that the following decomposition CANNOT hold ...

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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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AP Calculus 2nd way: trig integral ∫dx/(4-3cos^2(x)+5sin^2(x)) dx

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2nd way: exp integral ∫2^(5x) 3^(-x) dx

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Columbia U: 1st way Evaluate the indefinite integral 1/(1+e^x) dx

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AP Calculus 2nd way: trig integral ∫sin^2(x) cos^2(x) dx

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