UC Davis: #11 exp trig ∫cos(5x)/e^sin(5x) dx

Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

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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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2nd way: integral ∫ log √x(x^n) dx

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2 ways: sq root derivative 1/(√√(1/√x))

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2nd/3ways: trig integral ∫sec(x) dx

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🪔 Happy Deepavali 🪔 [Nov-12-2023]

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

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1) integral ∫ 1/(1+x^2) dx 2) integral ∫ e^x/(1+e^(2x)) dx 3) integral ∫ cos(x)/(1+sin^2(x)) dx

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Lamar U 2nd way: evaluate trig integral ∫x sin(x^2) [cos^4(x^2) + 8 cos^2(x^2)-10] dx

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Evaluate these 9 integrals containing ...

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2nd way: integral ∫(6+4x--2x^2) dx via 1) complete sq 2) then trig. sub

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UC Davis #1: 2 ways Find the length of the graph for y=3x+2 on the closed interval ...

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UC Davis: #7 trig log integral sin(ln(x))/x dx

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Find the 2nd-order partial derivatives of f(x,y)=2xy^2-3x^2+xy^3

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

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NYU: 3 ways ∫(1+ln(x))/x dx

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1)integral ∫ x dx 2)integral ∫ ln(x)/x dx via inspection [NO u-sub]

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NYU: compute ∫ln(x)/x^2 dx

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logic: Translate the following compound into symbols using statements P & Q & logical connective

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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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