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4 ways: trig integral ∫tan(x) dx

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Screen Recording 2024-05-05 at 11.28.23 PM
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Screen Recording 2024-05-05 at 11.28.23 PM

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

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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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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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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx

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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 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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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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#6 2024 MIT Integration Bee Qualifying Exam
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#6 2024 MIT Integration Bee Qualifying Exam

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IIT-1995 2nd way integral ∫x^5/(1+x^3) dx
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IIT-1995 2nd way integral ∫x^5/(1+x^3) dx

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

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The laid-back vibe of foreign girls, dedicated to all parents who easily feel confused and anxious #
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The laid-back vibe of foreign girls, dedicated to all parents who easily feel confused and anxious #

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prob stat: 2 ways The mean of five #s 2,3,5,6,8 is 4.8. Calculate the std deviation.
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prob stat: 2 ways The mean of five #s 2,3,5,6,8 is 4.8. Calculate the std deviation.

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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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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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prob stat In a sample of n= 6 scores, 5 of the scores are each above the mean by one point.
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prob stat In a sample of n= 6 scores, 5 of the scores are each above the mean by one point.

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Simplify the following statements using only the connectives ∧, ∨ and ¬
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Simplify the following statements using only the connectives ∧, ∨ and ¬

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AP Calculus 3rd way: exp integral 1/(1+e^x) dx [withOUT u-sub]
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AP Calculus 3rd way: exp integral 1/(1+e^x) dx [withOUT u-sub]

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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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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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Homemade Automatic Fur-Plucking Machine
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Homemade Automatic Fur-Plucking Machine

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AP Calculus 2nd way trig ∫sin^3(x)/(cos(x)-1) dx
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AP Calculus 2nd way trig ∫sin^3(x)/(cos(x)-1) dx

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STPM Math T Sem. 2: Ex 11.2 Given that f(x)=tan(x), show that ...
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STPM Math T Sem. 2: Ex 11.2 Given that f(x)=tan(x), show that ...

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

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Laman utama>4 ways: trig integral ∫tan(x) dx>