#17 2010 MIT Integration Bee Qualifying Exam

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Do you know ... paper folding ...

5:02

Do you know ... paper folding ...

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Pantun Melayu [Sorong papan tarik papan]

0:33

Pantun Melayu [Sorong papan tarik papan]

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2 ways: derivative √(x+1) √(x-1)

1:59

2 ways: derivative √(x+1) √(x-1)

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Show log b^n(x^m) = m/n logb(x)

2:58

Show log b^n(x^m) = m/n logb(x)

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Difference of 2 nonconsecutive triangular numbers

4:33

Difference of 2 nonconsecutive triangular numbers

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Texas Tech: Find integral #7 ∫xsin(x^2) dx vs #5 ∫xsin^2(x) dx

3:17

Texas Tech: Find integral #7 ∫xsin(x^2) dx vs #5 ∫xsin^2(x) dx

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2 ways: 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫3x/((x-2)(x+1)) dx

3:03

2 ways: 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫3x/((x-2)(x+1)) dx

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alternate way: count sum 1+2+3+ ... +n

4:02

alternate way: count sum 1+2+3+ ... +n

3 Views

UC Davis: differentiate y=ln(cos^5(3x^4))

1:48

UC Davis: differentiate y=ln(cos^5(3x^4))

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2 ways: integral ∫x/(x+a) dx

2:18

2 ways: integral ∫x/(x+a) dx

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3rd/3ways: exp Derivative x^x

1:17

3rd/3ways: exp Derivative x^x

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Do you know ... in tagalog?

0:51

Do you know ... in tagalog?

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UC Davis #6: ∫ (2+tan(x))^2 dx

1:42

UC Davis #6: ∫ (2+tan(x))^2 dx

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Conversion: Permutation - Combination vice versa

5:54

Conversion: Permutation - Combination vice versa

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alternate way: count sum 1+3+5+ ... +(2n-1)

4:16

alternate way: count sum 1+3+5+ ... +(2n-1)

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3 ways: trig integral ∫sin([118]) cos([118]) d[118]

2:02

3 ways: trig integral ∫sin([118]) cos([118]) d[118]

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exp trig derivative x^x sin(x)

1:17

exp trig derivative x^x sin(x)

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2nd way: sq root integral ∫1/(1+ √'x) dx

1:16

2nd way: sq root integral ∫1/(1+ √'x) dx

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Find dy/dx if x=a(θ-sin(θ)) & y=a(1-cos(θ))

1:50

Find dy/dx if x=a(θ-sin(θ)) & y=a(1-cos(θ))

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STPM Math T: trig double angle Express cos(2x) & sin(2x) in terms of tan(x)

2:05

STPM Math T: trig double angle Express cos(2x) & sin(2x) in terms of tan(x)

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