1st/2ways: trig integral cos(2x)/(cos^2(x) sin^2(x)) dx

GPT4: A tweet snippet from Michal Kosinski

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

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2nd/3ways: trig integral ∫sec(x) dx

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I.B.P Derivation [Integration By Parts]

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trig integral a) ∫csc^2(x) dx

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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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#3 2024 MIT Integration Bee Qualifying Exam

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2nd/2 parts: 2 (elementary) rules

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trig integral sin(x+sin(x))-sin(x-sin(x)) dx

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log sq rt integral ∫√x ln(x) dx withOUT u-sub

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Practice STPM Math Sem2 derivative

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2nd way: trig Evaluate 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫tan^(3/2)(x) sec^4(x) dx

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3 ways: Find the first 3 terms of Maclaurin series for sin^2(x)

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Derivative (af(x)+b)^(pg(x)+q)

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The Maclaurin series of an EVEN function includes only EVEN powers.

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2nd/2ways: Evaluate lim sin(5x)/sin(9x) as x tends 0

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trig integral ∫sec^2(x)/tan(x) dx vs ∫tan(x)/sec^2(x) dx

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2nd way: integral ∫x^k ln(x) dx = x^(k+1)/(k+1) ln(x) - x^(k+1)/(k+1)^2 + C where C ≠ -1

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2010 Raytheon MATHCOUNTS National Competition

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1st/4 ways: integral ∫1/(x + √x) dx

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