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#24 2010 MIT Integration Bee Qualifying Exam

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2nd way: integral ∫ log √x(x^n) dx
1:00

2nd way: integral ∫ log √x(x^n) dx

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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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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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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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Swinburne U 2nd way: e^(-e^x) e^x dx
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Swinburne U 2nd way: e^(-e^x) e^x dx

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Review: Linear form, Quadratic form & Bilinear form
9:02

Review: Linear form, Quadratic form & Bilinear form

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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...
1:23

A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...

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logic: tautology (¬p→q)∧(¬p→¬q) →p
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logic: tautology (¬p→q)∧(¬p→¬q) →p

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count quick review: Permutation vs Combination
7:11

count quick review: Permutation vs Combination

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1st/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via median.
2:30

1st/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via median.

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2nd/2parts Mohammad Ali Jinnah University: Integrate the followings.
2:41

2nd/2parts Mohammad Ali Jinnah University: Integrate the followings.

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Mohammad Ali Jinnah University: Integrate the followings.
9:52

Mohammad Ali Jinnah University: Integrate the followings.

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21** ~ Complete List Of Norton Customer® Care Contact Numbers In USA
2:14

21** ~ Complete List Of Norton Customer® Care Contact Numbers In USA

Norton Customer CareNorton Customer Care

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2nd way: Evaluate ∫a/(b+ce^x)dx
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2nd way: Evaluate ∫a/(b+ce^x)dx

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@22** Complete List Of Norton Customer® Service Phone Numbers In USA
2:14

@22** Complete List Of Norton Customer® Service Phone Numbers In USA

Norton Customer CareNorton Customer Care

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UT Austin: ∫x (1-x^2)^1/4 dx
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UT Austin: ∫x (1-x^2)^1/4 dx

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Florida International U: Find derivatives ...defined implicitly ... (a)-(c)
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Florida International U: Find derivatives ...defined implicitly ... (a)-(c)

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1st/2 ways: trig integral ∫sin^3(x) dx
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1st/2 ways: trig integral ∫sin^3(x) dx

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Evaluate trig integral ∫1/(sin^4(x/2)) dx
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Evaluate trig integral ∫1/(sin^4(x/2)) dx

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integral ∫e^x(1/x - 1/x^2) dx
2:20

integral ∫e^x(1/x - 1/x^2) dx

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