#1 2024 MIT Integration Bee Qualifying Exam

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2nd/2ways: Taylor series of sin(x)

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2nd/2ways: Taylor series of sin(x)

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6th form Pure Math: hyper trig integrate ∫1/(sin(x) + cos(x)) dx1/(sinh(x)+2cosh(x)) dx

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6th form Pure Math: hyper trig integrate ∫1/(sin(x) + cos(x)) dx1/(sinh(x)+2cosh(x)) dx

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prob stat: One sample of n=4 scores has a mean of M=10, &

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prob stat: One sample of n=4 scores has a mean of M=10, &

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Find the 2nd-order partial derivatives of f(x,y)=2xy^2-3x^2+xy^3

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Find the 2nd-order partial derivatives of f(x,y)=2xy^2-3x^2+xy^3

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matrix example: How to select the ROW you want ...

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matrix example: How to select the ROW you want ...

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prob stat: Consider the experiment of tossing a fair coin twice & reading the up face on each toss.

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prob stat: Consider the experiment of tossing a fair coin twice & reading the up face on each toss.

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prob stat: A population of N=10 scores has a mean of 30.

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prob stat: A population of N=10 scores has a mean of 30.

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NYU: compute integral ∫√(1+ √x) dx

1:46

NYU: compute integral ∫√(1+ √x) dx

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What is the mode for the following set of n=8 scores? Scores: 2,4,4,5,7,8,8,8

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What is the mode for the following set of n=8 scores? Scores: 2,4,4,5,7,8,8,8

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#3 UC Davis integrate ∫3/(4+x^(1/3)) dx via power sub

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#3 UC Davis integrate ∫3/(4+x^(1/3)) dx via power sub

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multivariable Let w=x^2y-xy^3 where x=cos(t) & y=e^t. Find dw/dt & its value when t=0.

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multivariable Let w=x^2y-xy^3 where x=cos(t) & y=e^t. Find dw/dt & its value when t=0.

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Evaluate these 7 integrals ...

4:33

Evaluate these 7 integrals ...

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U of Arizona: For each integral decide which of the following is needed ....

1:53

U of Arizona: For each integral decide which of the following is needed ....

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Lamar U 2nd way: evaluate integral ∫1/(3x) + sec(9x)tan(9x)e^sec(9x) dx

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Lamar U 2nd way: evaluate integral ∫1/(3x) + sec(9x)tan(9x)e^sec(9x) dx

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Let B be the mx1 col. matrix [1/m ... 1/m]'. If A =[a1 ... am] is any row matrix. What is AB?

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Let B be the mx1 col. matrix [1/m ... 1/m]'. If A =[a1 ... am] is any row matrix. What is AB?

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2nd way: integral 1) ∫1/√(a - √b x^2)dx vs 2) ∫1/√(a - √b x^2) dx

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2nd way: integral 1) ∫1/√(a - √b x^2)dx vs 2) ∫1/√(a - √b x^2) dx

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2nd way: Derivative arc cos(x/a) Calculus

1:21

2nd way: Derivative arc cos(x/a) Calculus

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2nd way: trig Evaluate 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫sec^4(x)/tan(x) dx

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2nd way: trig Evaluate 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫sec^4(x)/tan(x) dx

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prob stat: A bag contains 5 red balls & 3 green balls. A ball is drawn at random &

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prob stat: A bag contains 5 red balls & 3 green balls. A ball is drawn at random &

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Rutgers U: Verify using calculus

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Rutgers U: Verify using calculus

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