#18 2011 MIT Integration Bee Qualifying Exam

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

4:36

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

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integral ∫ x dx withOUT using Power rule.

1:32

integral ∫ x dx withOUT using Power rule.

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Review: Linear form, Quadratic form & Bilinear form

9:02

Review: Linear form, Quadratic form & Bilinear form

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trig Write each expression as an equivalent algebraic expression involving only x.

1:56

trig Write each expression as an equivalent algebraic expression involving only x.

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Variability or spread of a distribution. Whey we need it!

3:58

Variability or spread of a distribution. Whey we need it!

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Screen Recording 2024-02-22 at 10.23.21 PM

4:17

Screen Recording 2024-02-22 at 10.23.21 PM

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Screen Recording 2024-02-22 at 10.18.05 PM

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Screen Recording 2024-02-22 at 10.18.05 PM

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Columbia U: 1st way integral ∫√(x^2-9)/x^4 dx

3:26

Columbia U: 1st way integral ∫√(x^2-9)/x^4 dx

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UC Davis #12 [THE INTEGRATION OF RATIONAL FUNCTIONS] withOUT u-sub

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UC Davis #12 [THE INTEGRATION OF RATIONAL FUNCTIONS] withOUT u-sub

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2nd/2parts: Linear interpolation (2 given points)

9:42

2nd/2parts: Linear interpolation (2 given points)

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

14:46

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

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1st/2 ways: integral ∫1/(x(x^n -1)) dx

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1st/2 ways: integral ∫1/(x(x^n -1)) dx

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prob stat: The weighted mean of the 2 #s 30 & 15 is 20.

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prob stat: The weighted mean of the 2 #s 30 & 15 is 20.

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

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1)integral ∫ x dx 2)integral ∫ ln(x)/x dx via inspection [NO 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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Columbia U: 2nd way integral Find ∫1/(x √(9-x^2)) dx withOUT trig-sub

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STPM Math T Sem.2:

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STPM Math T Sem.2:

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2nd/2 ways: MIT Integration Bee Final

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2nd/2 ways: MIT Integration Bee Final

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Screen Recording 2024-02-16 at 8.23.14 PM

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Screen Recording 2024-02-16 at 8.23.14 PM

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

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

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2 ways: trig integral cos^2(x) sin^2(x) dx

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2 ways: trig integral cos^2(x) sin^2(x) dx

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