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#2 2011 MIT Integration Bee Qualifying Exam

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Bachelor.Point.S05E39.720p.Bangla.AAC
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Bachelor.Point.S05E39.720p.Bangla.AAC

ArifHawladerArifHawlader

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2nd way: integral ∫ log √x(x^n) dx
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2nd way: integral ∫ log √x(x^n) dx

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

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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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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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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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1st/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via median.
2:30

1st/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via median.

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2 ways: sq root derivative 1/(√√(1/√x))
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2 ways: sq root derivative 1/(√√(1/√x))

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JEE Main integral x^2/(a+bx)^2 dx
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JEE Main integral x^2/(a+bx)^2 dx

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1) integral ∫ 1/(1+x^2) dx 2) integral ∫ e^x/(1+e^(2x)) dx 3) integral ∫ cos(x)/(1+sin^2(x)) dx
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1) integral ∫ 1/(1+x^2) dx 2) integral ∫ e^x/(1+e^(2x)) dx 3) integral ∫ cos(x)/(1+sin^2(x)) dx

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Find the area via Pick's Theorem
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Find the area via Pick's Theorem

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logic: Simplify the Boolean function F=XYZ+XY'Z+XYZ'
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logic: Simplify the Boolean function F=XYZ+XY'Z+XYZ'

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Evaluate these 7 integrals ...
4:33

Evaluate these 7 integrals ...

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Screen Recording 2024-05-10 at 6.17.33 PM
1:34

Screen Recording 2024-05-10 at 6.17.33 PM

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Find the 2nd-order partial derivatives of f(x,y)=2xy^2-3x^2+xy^3
4:36

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

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"baby" fact: exp e^(ix)
2:25

"baby" fact: exp e^(ix)

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UC Davis: #9 exp integral ∫x 3^(x^2+1) dx
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UC Davis: #9 exp integral ∫x 3^(x^2+1) dx

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A 2 digit number is equal to the sum of the product of its digits & the sum of its digits.
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A 2 digit number is equal to the sum of the product of its digits & the sum of its digits.

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#13 2011 MIT Integration Bee Qualifying Exam
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#13 2011 MIT Integration Bee Qualifying Exam

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#8 2014 MIT Integration Bee Qualifying Exam
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#8 2014 MIT Integration Bee Qualifying Exam

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