#18 2023 MIT Integration Bee Qualifying Exam

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0 วิว Premium27/11/2023

∫ sin(x)/(2e^x + cos(x) +sin(x)) dx

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Let f(x) be a polynomial of degree 1. If f(10)-f(5)=15, then f(20)-f(5)=?

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Let f(x) be a polynomial of degree 1. If f(10)-f(5)=15, then f(20)-f(5)=?

5 วิว

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 ...

11 วิว

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

23 วิว

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"

23 วิว

U North Texas Integration Bee 2nd way: x^2/√(x-1) dx

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U North Texas Integration Bee 2nd way: x^2/√(x-1) dx

1 วิว

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

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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) 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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Pantun Melayu [Buah cempedak di luar pagar]

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Pantun Melayu [Buah cempedak di luar pagar]

19 วิว

Do you know ... in tagalog?

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Do you know ... in tagalog?

2 วิว

alternate way: count sum 1 + 2 + 3+... + n via "polynomial"

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alternate way: count sum 1 + 2 + 3+... + n via "polynomial"

4 วิว

prpob stat A bag contains 5 black balls 6 red balls. Determine the number of ways in which ...

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prpob stat A bag contains 5 black balls 6 red balls. Determine the number of ways in which ...

1 วิว

2nd way: integral ∫ log √x(x^n) dx

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2nd way: integral ∫ log √x(x^n) dx

65 วิว

Show integral x/(x^2+a^2) dx = -1/(2(x^2+a^2))

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Show integral x/(x^2+a^2) dx = -1/(2(x^2+a^2))

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U Penn: Assuming g(x) is a continuous function whose derivative g'(x) is also continuous, evaluate .

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U Penn: Assuming g(x) is a continuous function whose derivative g'(x) is also continuous, evaluate .

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Quickie: Find the value of √((470+160)(470-160) +2560)

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Quickie: Find the value of √((470+160)(470-160) +2560)

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2 ways: trig integral ∫cos^2(x) dx

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2 ways: trig integral ∫cos^2(x) dx

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3rd/3ways: exp Derivative x^x

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3rd/3ways: exp Derivative x^x

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2nd/3ways: trig integral ∫sec(x) dx

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2nd/3ways: trig integral ∫sec(x) dx

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Properties of Determinants [examples with 2x2 matrix]

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Properties of Determinants [examples with 2x2 matrix]

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AP Calculus 3rd way: exp integral 1/(1+e^x) dx [withOUT u-sub]

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AP Calculus 3rd way: exp integral 1/(1+e^x) dx [withOUT u-sub]

1 วิว