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

2nd way: Evaluate integral ∫x^2/√(19-x^2) dx

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logic Idempotent law show x=xVx

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

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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

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#14 2014 MIT Integration Bee Qualifying Exam

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

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Rutgers U: Verify using calculus

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What is the mode for the following set of n=8 scores? Scores: 2,4,4,5,7,8,8,8

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

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2024 MIT Integration Bee Final

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1997 AP Calculus BC: If x=e^(2t) & y=sin(2t), then dy/dx=

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2nd way: Evaluate ∫ 1/√(1-e^(2x)) dx

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prob stat: Find the expected value & std deviation in the number of '6's when 20 dice are rolled.

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

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integral exp ∫e^(mx)/(x^n) dx via Reduction formula

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#17 2011 MIT Integration Bee Qualifying Exam

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Lamar U: #9 1st way: trig integral ∫sec^2(9x) tan^3(9x) dx

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Columbia U: 5th/6 ways Evaluate the indefinite integral ∫1/(1+e^x) dx

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#18 2011 MIT Integration Bee Qualifying Exam

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

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