#14 2011 MIT Integration Bee Qualifying Exam

2 ways: integral ∫(a^2-x^2) dx

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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx

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lim x/e^x? as x→∞

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5 ways: integral ∫a^(px+q) dx

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trig integral ∫tan^n(x) dx where n is EVEN via Reduction formula

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2nd way: trig integral ∫sin(x/a) dx

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doneScreen Recording 2024-05-18 at 10.25.20 PM

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1st/2 way: Expand e^sin(x) by Maclaurin's Theorem

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trig integral ∫1/(sin(ax) cos(ax)) dx

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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: A group consists of 4 girls & 7 boys. In how many ways can a team of 5 members ...

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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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integration bee 2018 Swinburne U integral x^2/2 ln(2/x^2) dx

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multivariable partial Let w=2x^2 y, where x=u^2+v^2 & y=u^2-v^2. Find ∂w/∂u & ∂w/∂v.

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2nd way: trig integral ∫√(sec^5(x)/sin^3(x)) dx

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2nd way: trig integral ∫(sec(x) tan(x))/(sec^2(x)-sec(x)) dx

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#16 2011 MIT Integration Bee Qualifying Exam

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Lamar U: #13 trig integral ∫(2+7sin^3(x))/cos^2(x) dx

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Find the area via Pick's Theorem

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GPT4: A tweet snippet from Michal Kosinski

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