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#17 2012 MIT Integration Bee Qualifying Exam

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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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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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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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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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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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Review: Linear form, Quadratic form & Bilinear form
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Review: Linear form, Quadratic form & Bilinear form

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diff eq: Solve dy/dx = (2y4x^4)/(xy^3) ❌separable to ✅separable
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diff eq: Solve dy/dx = (2y4x^4)/(xy^3) ❌separable to ✅separable

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lim x/e^x? as x→∞
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lim x/e^x? as 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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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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alternate way: ∫ √(x^2+a^2 )dx via "expressing in 2 ways"
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alternate way: ∫ √(x^2+a^2 )dx via "expressing in 2 ways"

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#4 2017 MIT Integration Bee Qualifying Exam
1:22

#4 2017 MIT Integration Bee Qualifying Exam

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#16 2014 MIT Integration Bee Qualifying Exam
1:30

#16 2014 MIT Integration Bee Qualifying Exam

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#19 2010 MIT Integration Bee Qualifying Exam
1:46

#19 2010 MIT Integration Bee Qualifying Exam

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#24 2010 MIT Integration Bee Qualifying Exam
1:34

#24 2010 MIT Integration Bee Qualifying Exam

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#11 2014 MIT Integration Bee Qualifying Exam
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#11 2014 MIT Integration Bee Qualifying Exam

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Lamar U 2nd way: evaluate integral ∫√(1+2ln(7x))/2 +10x^3/(x^4 +9) dx
2:02

Lamar U 2nd way: evaluate integral ∫√(1+2ln(7x))/2 +10x^3/(x^4 +9) dx

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Lamar U 2nd way: evaluate trig log sq rt integral ∫sin(1+ln(2x))-√(1+ln(2x))/x dx
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Lamar U 2nd way: evaluate trig log sq rt integral ∫sin(1+ln(2x))-√(1+ln(2x))/x dx

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#17 2010 MIT Integration Bee Qualifying Exam
1:04

#17 2010 MIT Integration Bee Qualifying Exam

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#8 2014 MIT Integration Bee Qualifying Exam
1:34

#8 2014 MIT Integration Bee Qualifying Exam

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