#8 2021 MIT Integration Bee Qualifying Exam

Solve the differential equation cos^2(y) dx +(1+e^(-x) sin(y) dy=0

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Pantun Melayu [Sorong papan tarik papan]

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

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2nd way: integral ∫1/x logb(x) dx

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Find r, if 5 4Pr = 6 5(r-1)

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sum Find 1/1.4 + 1/4.7 +1/7.10+... +1/((3n-2)(3n+1))

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2nd way: ∫x/(x^4+2x^2+2) dx

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2nd way: 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 log b^√√m(x) dx

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Evaluate the integrals

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count: How many subsets does {23,24,25,...,118} have?

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Screen Recording 2024-05-12 at 8.34.35 PM

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The sum of 3 numbers in AP is 15 & the sum of their squares is 3. Find the numbers.

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2nd way: integral 1/(1+tan(x)) dx

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AP Calculus 4th way: exp ∫1/(1+e^x) dx via 3rd u-sub

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JHU: integral ∫t^3 e^(t^2) dt

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Screen Recording 2024-05-06 at 11.51.42 PM

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Integral 1/logx(b) dx

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exp integral ∫x^2 e^(-2) dx

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#18 2023 MIT Integration Bee Qualifying Exam

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2nd way: trig inverse ∫(2012)^x (2012)^ arc (sin(2012)^x)√(1-(2012)^2x) dx

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