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#10 2023 MIT Integration Bee Qualifying Exam

1 ViewNov 26, 2023

∫ ((1-x)^3 +(x-x^2)^3+(x^2-1)^3-3(1-x)(x-x^2)(x^2-1)) dx.
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Friday, July 25, 2025 Feast of Saint James, Apostle #faith #readings #ordinarytime2025
3:10

Friday, July 25, 2025 Feast of Saint James, Apostle #faith #readings #ordinarytime2025

Ramil LauglaugRamil Lauglaug

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count quick review: Permutation vs Combination
7:11

count quick review: Permutation vs Combination

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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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41 Views

AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
0:56

AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx

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1st/3parts: Checkpoint 1.1 STPM Math T Sem2
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1st/3parts: Checkpoint 1.1 STPM Math T Sem2

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exp Differentiate (i) b^e^x (ii) b^x&e (iii) (b^e)^x (iv) (b^x)^e
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exp Differentiate (i) b^e^x (ii) b^x&e (iii) (b^e)^x (iv) (b^x)^e

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prob stat: A normal 6-sided dice is rolled. What is the prob. that the first '6' occurs:
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prob stat: A normal 6-sided dice is rolled. What is the prob. that the first '6' occurs:

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trig integral ∫x^2 cos(x^3) e^sin(x^3) dx
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trig integral ∫x^2 cos(x^3) e^sin(x^3) dx

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Screen Recording 2023-12-30 at 9.34.01 PM
2:26

Screen Recording 2023-12-30 at 9.34.01 PM

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Columbia U: 2nd way Evaluate the indefinite integral ∫1/(1+e^x) dx
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Columbia U: 2nd way Evaluate the indefinite integral ∫1/(1+e^x) dx

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Review: integral ∫1/(x^2-a^2)dx vs integral ∫1/(a^2-x^2) dx vs integral ∫1/(x^2+a^2) dx
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Review: integral ∫1/(x^2-a^2)dx vs integral ∫1/(a^2-x^2) dx vs integral ∫1/(x^2+a^2) dx

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2nd way: derivative (x/a)^n/(n-1) + (y/b)^n/(n-1) = 1
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2nd way: derivative (x/a)^n/(n-1) + (y/b)^n/(n-1) = 1

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Variability or spread of a distribution. Whey we need it!
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Variability or spread of a distribution. Whey we need it!

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Lamar U 2nd way: evaluate trig integral ∫csc(x/2) cot(x/2)(csc^6(x/2)+3csc^4(x/2)-8csc(x/2)) dx
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Lamar U 2nd way: evaluate trig integral ∫csc(x/2) cot(x/2)(csc^6(x/2)+3csc^4(x/2)-8csc(x/2)) dx

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

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2nd way: exp integral ∫2^(5x) 3^(-x) dx
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2nd way: exp integral ∫2^(5x) 3^(-x) dx

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2 ways: Find the derivative y=ln(x) sin(x)
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2 ways: Find the derivative y=ln(x) sin(x)

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UC Davis: integrate sin(x)/(1+sin(x)) dx
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UC Davis: integrate sin(x)/(1+sin(x)) dx

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#17 2011 MIT Integration Bee Qualifying Exam
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#17 2011 MIT Integration Bee Qualifying Exam

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If pv^a=C (where a & C are constant) find dv/dp & d2v/dp2
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If pv^a=C (where a & C are constant) find dv/dp & d2v/dp2

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Laman utama>#10 2023 MIT Integration Bee Qualifying Exam>