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

2 ViewsJan 25, 2024

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integral exp ∫e^(mx)/(x^n) dx via Reduction formula
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integral exp ∫e^(mx)/(x^n) dx via Reduction formula

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Differentiate the function y= x^3 (1+x)^2 /((1-x)^4 (1+2x)^2)
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Differentiate the function y= x^3 (1+x)^2 /((1-x)^4 (1+2x)^2)

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Which pairs are equivalent via truth table?
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Which pairs are equivalent via truth table?

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#9 2010 MIT Integration Bee Qualifying Exam
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#9 2010 MIT Integration Bee Qualifying Exam

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2 ways: derivative x √√x
2:08

2 ways: derivative x √√x

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Add math: 1st/3ways Core Auditorium is an amphitheater that has ..
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Add math: 1st/3ways Core Auditorium is an amphitheater that has ..

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UC Davis p#12: 2nd way differentiate y=x^(x^(x^4)))
2:58

UC Davis p#12: 2nd way differentiate y=x^(x^(x^4)))

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4 ways: trig integral ∫tan(x) dx
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4 ways: trig integral ∫tan(x) dx

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Study-Group.Episode-7.Korean-Drama. with.Esubs
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Study-Group.Episode-7.Korean-Drama. with.Esubs

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review: When to use ... Sum of A.P n/2(a+l) vs n/2(2a+(n-1)d)
4:50

review: When to use ... Sum of A.P n/2(a+l) vs n/2(2a+(n-1)d)

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integral ∫x^3/(x+2) dx
1:56

integral ∫x^3/(x+2) dx

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#19 2011 MIT Integration Bee Qualifying Exam
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#19 2011 MIT Integration Bee Qualifying Exam

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If u=f(y/x) then prove that x∂u/∂x + y∂u/∂y = 0
1:55

If u=f(y/x) then prove that x∂u/∂x + y∂u/∂y = 0

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Show integral 1/(x(x^2+a^2)) dx = 1/(2a^2) ln(x^2/(x^2+a^2))
1:44

Show integral 1/(x(x^2+a^2)) dx = 1/(2a^2) ln(x^2/(x^2+a^2))

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#16 2014 MIT Integration Bee Qualifying Exam
1:30

#16 2014 MIT Integration Bee Qualifying Exam

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prob stat: 2 ways Joe's mean mark for the physics tests for the term was 72.
2:24

prob stat: 2 ways Joe's mean mark for the physics tests for the term was 72.

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#20 2022 MIT Integration Bee Qualifying Exam
1:39

#20 2022 MIT Integration Bee Qualifying Exam

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#16 2011 MIT Integration Bee Qualifying Exam
1:34

#16 2011 MIT Integration Bee Qualifying Exam

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NONelementary integral ∫e^(ax)/x dx
1:58

NONelementary integral ∫e^(ax)/x dx

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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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