#22 2019 MIT Integration Bee Final

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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

4:59

Solve the following differential equation cos^2(x)dy/dx +y = tan(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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pretend: to pretend

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pretend: to pretend

zhengjingdeyingyu

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

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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 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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Fish pedicure caused her to lose all her toes

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Fish pedicure caused her to lose all her toes

xiugaihoude02_03

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Show integral 1/(x^2(x^2+a^2)) dx = -1/(a^2x) - 1/a^3 arc tan(x/a)

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Show integral 1/(x^2(x^2+a^2)) dx = -1/(a^2x) - 1/a^3 arc tan(x/a)

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The most serious "Xi Ba" tutorial on Bilibili!

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The most serious "Xi Ba" tutorial on Bilibili!

hanyulaoshi-quanerge

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My boyfriend says my other styles are just so-so... but the new Chinese style is amazing!

0:35

My boyfriend says my other styles are just so-so... but the new Chinese style is amazing!

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Let's debunk the rumors spread by popular online marketing accounts

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Let's debunk the rumors spread by popular online marketing accounts

shanliangpabagan

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How many chords can be drawn through 21 points on a circle?

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How many chords can be drawn through 21 points on a circle?

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8Screen Recording 2023-12-07 at 1.55.57 AM

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8Screen Recording 2023-12-07 at 1.55.57 AM

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trig integral sin(x+sin(x))-sin(x-sin(x)) dx

1:28

trig integral sin(x+sin(x))-sin(x-sin(x)) dx

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8Screen Recording 2023-12-07 at 1.55.57 AM

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8Screen Recording 2023-12-07 at 1.55.57 AM

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Screen Recording 2023-12-07 at 2.04.49 AM

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Screen Recording 2023-12-07 at 2.04.49 AM

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2 ways: trig integral ∫1/(2+cos^2(x)) dx

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2 ways: trig integral ∫1/(2+cos^2(x)) dx

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2nd way: ∫1/(√(x-α)(x-β)) dx

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2nd way: ∫1/(√(x-α)(x-β)) dx

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logic How can we check our Boolean simplification is done correctly?

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logic How can we check our Boolean simplification is done correctly?

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UC Davis: differentiate y=cos^2(x^3)

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UC Davis: differentiate y=cos^2(x^3)

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

1:00

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

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