Polite number

GPT4: A tweet snippet from Michal Kosinski

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2nd/3ways: trig integral ∫sec(x) dx

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

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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx

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Review Add Math: Show a^m a^n = a^(m+n) where m & n are any 2 positive integers

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4 ways: sum Find the sum of the values of 4+3i for i=1,2,...,100

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A bag contains 20 identical red marbles, 20 identical green marbles, & 20 identical blue marbles.

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3rd/3ways: derivative (x+1)^(1/2) (x+2)^(1/3) (x+3)^(1/4) (x+4)^(1/5) (x+5)^(1/6)

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expon directive a^f(x)

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sq root derivative √x [Good to know the result]

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4th way: rational function integral ∫x^3/√ (1+x^2) dx

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#16 MIT 2022 Integration Bee Qualifying Exam

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IGCSE 2023 p2 Add Math #4

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If y=acos(ln(x)) + bsin(ln(x)), show that x^2y2 + xy1 +y=0

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integral ∫(x^2+2x)/(x^2+2x+2) dx

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stat: SLR Properties of residuals

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count comb: How many subsets does {{{118},{{18,19,20,21,...,118}},{{{118}}} }} have?

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Show that ar sinh(x) = ln(x + √ (x^2+1))

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

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"baby" fact: exp e^(ix)

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