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#18 2023 MIT Integration Bee Qualifying Exam

0 ViewNov 26, 2023

∫ sin(x)/(2e^x + cos(x) +sin(x)) dx
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Find the expected value & the std deviation in the number of '6's when 20 dice are rolled.
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Find the expected value & the std deviation in the number of '6's when 20 dice are rolled.

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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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count quick review: Permutation vs Combination
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count quick review: Permutation vs Combination

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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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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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2nd way: derivative y^2=4a(x+a sin(x/a))
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2nd way: derivative y^2=4a(x+a sin(x/a))

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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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#9 2020 MIT Integration Bee Quali Exam: integral ∫1/cosh^2(x) dx
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#9 2020 MIT Integration Bee Quali Exam: integral ∫1/cosh^2(x) dx

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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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prob stat 2/2 ways: A couple has 6 children whose ages are 6,8,10,12,14,16.
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prob stat 2/2 ways: A couple has 6 children whose ages are 6,8,10,12,14,16.

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

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

Ramil LauglaugRamil Lauglaug

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

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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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#10 2023 MIT Integration Bee Qualifying Exam
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#10 2023 MIT Integration Bee Qualifying Exam

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