#5 MIT 2022 Integration Bee Qualifying Exam

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

1:49

1st way: exp ∫(e^x)/x (1+x log(x)) dx

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2nd way: integral ∫ log √x(x^n) dx

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2nd way: integral ∫ log √x(x^n) dx

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logic: De Morgan's Law

2:46

logic: De Morgan's Law

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

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

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

0:34

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

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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

0:50

MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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Review: Linear form, Quadratic form & Bilinear form

9:02

Review: Linear form, Quadratic form & Bilinear form

23 Views

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.

23 Views

exp integral e^x (f(x) + f'(x)) dx

2:29

exp integral e^x (f(x) + f'(x)) dx

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1st/2ways: logic Import-Export

6:07

1st/2ways: logic Import-Export

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YOGIRI vs. All Anime Character

9:25

YOGIRI vs. All Anime Character

Kdrama/Pdrama2025

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2nd/2ways: count perm Show P(n,n)=P(n,n-1)

3:05

2nd/2ways: count perm Show P(n,n)=P(n,n-1)

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Growing patterns #3

4:55

Growing patterns #3

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3 picture views of the sum ... 1+2+3+...+n

11:55

3 picture views of the sum ... 1+2+3+...+n

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integral Find ∫1/(9-4x^2) dx

1:00

integral Find ∫1/(9-4x^2) dx

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Review: Product to Sum Identities

9:52

Review: Product to Sum Identities

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Example: Find the sum

2:14

Example: Find the sum

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exp trig derivative x^x sin(x)

1:17

exp trig derivative x^x sin(x)

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prob stat: E(X-E(X))?

0:13

prob stat: E(X-E(X))?

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