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William & Mary Math112: trig integral sin^3(x) cos^2(x) dx

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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)
4:59

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

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

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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
5:18

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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[Detective Conan] A man accidentally drew a scene of the murder and was tragically killed as a resul
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[Detective Conan] A man accidentally drew a scene of the murder and was tragically killed as a resul

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4th way: rational function integral ∫x^3/√ (1+x^2) dx
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4th way: rational function integral ∫x^3/√ (1+x^2) dx

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3rd way: rational function integral ∫x^3/√ (1+x^2) dx
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3rd way: rational function integral ∫x^3/√ (1+x^2) 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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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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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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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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prob stat: 2 ways The mean of five #s 2,3,5,6,8 is 4.8. Calculate the std deviation.
3:27

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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Alternate way: trig integral ∫cot(x) csc^6(x) dx ... just in 1 line.
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Alternate way: trig integral ∫cot(x) csc^6(x) dx ... just in 1 line.

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STPM Math T Sem.2: 12.1 Numerical solution of Equations
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STPM Math T Sem.2: 12.1 Numerical solution of Equations

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Screen Recording 2024-05-10 at 6.19.39 PM
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Screen Recording 2024-05-10 at 6.19.39 PM

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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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prob stat: x̄=∑xk where k=1,2,3,...,n?
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prob stat: x̄=∑xk where k=1,2,3,...,n?

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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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2nd way: sq rt log integral ∫√√√(x) ln(x) dx
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2nd way: sq rt log integral ∫√√√(x) ln(x) dx

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