MIT Integration Bee Quali Exam 2023 #13 ∫(x+e+1)x^e e^x dx

What historical events sound absurd but are actually true?

tiantaichuanghu

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

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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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2nd way: derivative (x^x)^x

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

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

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"Boys must take good care of themselves."

xiaochenhunjian200

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Husband goes on long-distance truck trips year after year, and the family savings mysteriously disap

renzhendexiaoshimin

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Solve the differential equation xcos^2(y) dx + tan(y) dy=0

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How many builds did they watch before editing this ridiculously staged footage?

jianghuchuanshioko

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Tour guide berates tourists on the bus for bringing kids and not shopping

zhangshangchuncheng

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It's a pity you don't recommend Ran Mori, and you don't understand why I switched to 17pm...

jiubushengqi8

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Columbia U: 1st way integral ∫√(x^2-9)/x^4 dx

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A cubical die, numbered 1 to 6 is weighted so that a six is twice as likely to occur as any other #.

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prob stat: For the sample shown in the freq distribution table, what is the mode?

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Find the expected value & the variance of a geometric r.v. X

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2nd/2 ways: derivative x^2/3 + y^2/3 = a^2/3

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Screen Recording 2024-05-11 at 9.05.02 PM

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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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Variability or spread of a distribution. Whey we need it!

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