sqrt integral ∫(√x+1)/(x+√x) dx

Let f(x) be a polynomial of degree 1. If f(10)-f(5)=15, then f(20)-f(5)=?

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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

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

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Screen Recording 2024-05-19 at 9.56.54 PM

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Prove that the following inner [scalar] product ...

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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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prob stat In a sample of n= 6 scores, 5 of the scores are each above the mean by one point.

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Screen Recording 2024-05-18 at 11.12.27 PM

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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 fair 6-sided dice, with sides numbered 1,1,2,2,3,55 is thrown.

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The G-Class with a History

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Screen Recording 2024-05-19 at 11.13.23 PM

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Express the sum of the digits of the number (1000^20 - 20) in decimal notation

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5 ways: trig Derivative of sin^2(x)

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Columbia U: 4th/6 ways Evaluate the indefinite integral ∫1/(1+e^x) dx

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prob stat: What is the median for the following set of scores?

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2 ways: 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫x^5 √(1+x^3) dx

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U of Arizona: For each integral decide which of the following is needed ....

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Columbia U: 10th/10 ways Evaluate the indefinite integral ∫1/(1+e^x) dx withOUt u-sub

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