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

2 way: exp integral e^(ax+b)/1+e^(ax+b)) dx

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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx

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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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2010 Raytheon MATHCOUNTS National Competition

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2nd way: ∫cos(x)/√(sin^2(x)+4sin(x)+3) dx

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Screen Recording 2023-12-07 at 2.04.49 AM

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2nd way: ∫cos(x)/√(sin^2(x)+4sin(x)+3) dx

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doneScreen Recording 2024-05-18 at 10.25.20 PM

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Columbia U: 9th/9 ways Evaluate the indefinite integral ∫1/(1+e^x) dx withOUt u-sub

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

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

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2nd way: integral tan(x)/(1+tan(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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prob stat: 2 ways Joe's mean mark for the physics tests for the term was 72.

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Find the number of permutations of the letters of the word ALLAHABAD

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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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prob stat It is known that P(X)=1/2 & P(Y)=1/4. Given that X & Y are mutually exclusive, find

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derivative x^√x

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Columbia U: 10th/10 ways Evaluate the indefinite integral ∫1/(1+e^x) dx withOUt u-sub

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