#8 2022 MIT Integration Bee Qualifying Exam

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2nd video: 🇪🇹Yemariam🇪🇹 [Draw a person with top hat with digits ...]

1:43

2nd video: 🇪🇹Yemariam🇪🇹 [Draw a person with top hat with digits ...]

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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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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

1:23

MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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2nd/3ways: trig integral ∫sec(x) dx

1:46

2nd/3ways: trig integral ∫sec(x) dx

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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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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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Review: Linear form, Quadratic form & Bilinear form

9:02

Review: Linear form, Quadratic form & Bilinear form

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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.

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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

5:18

Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

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AP Calculus: log ∫√x(√√x) da

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AP Calculus: log ∫√x(√√x) da

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1st way: STPM Math T Sem2 By using the Maclaurin's theorem show that ...

9:15

1st way: STPM Math T Sem2 By using the Maclaurin's theorem show that ...

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integral ∫√(x-a)/x dx

3:35

integral ∫√(x-a)/x dx

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Review Add Math: Show a^m a^n = a^(m+n) where m & n are any 2 positive integers

4:46

Review Add Math: Show a^m a^n = a^(m+n) where m & n are any 2 positive integers

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2nd/3ways: derivative (x+1)^(1/2) (x+2)^(1/3) (x+3)^(1/4) (x+4)^(1/5) (x+5)^(1/6)

4:12

2nd/3ways: derivative (x+1)^(1/2) (x+2)^(1/3) (x+3)^(1/4) (x+4)^(1/5) (x+5)^(1/6)

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Alternate way: trig integral ∫sin(x) dx

1:44

Alternate way: trig integral ∫sin(x) dx

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prob stat: For the sample shown in the freq distribution table, what is the mode?

1:54

prob stat: For the sample shown in the freq distribution table, what is the mode?

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4th way: rational function integral ∫x^3/√ (1+x^2) dx

2:36

4th way: rational function integral ∫x^3/√ (1+x^2) dx

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Alternate way: trig integral ∫cos(x) dx

1:58

Alternate way: trig integral ∫cos(x) dx

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Derivative: Don't blindly use the Quotient Rule every time you see a quotient

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Derivative: Don't blindly use the Quotient Rule every time you see a quotient

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2nd/3part: Maclaurin Series [ahp kia]

5:41

2nd/3part: Maclaurin Series [ahp kia]

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