trig integral sin(tan(x)) cos(tan(x)) sec^2(x) dx [chain rule in reverse]

exp integral e^2x/(1+e^x) dx

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

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2nd way: integral ∫ log √x(x^n) dx

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2 ways: sq root derivative 1/(√√(1/√x))

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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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

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

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GPT4: A tweet snippet from Michal Kosinski

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diff eq: Solve dy/dx = (2y4x^4)/(xy^3) ❌separable to ✅separable

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3rd/3 ways: Express (4x-17)/((x+4)(2x-3)) in partial fractions via withOUT cover rule

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alternate way: count sum 1+3+5+ ... +(2n-1)

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2 ways: trig exp derivative e^(sin(x)) sin(e^x)

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

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1st/2 ways: derivative y=(ln(x))^x

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logic: tautology p→q≡(¬q→¬p)

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integration bee 2014 UNSW: 4th way: e^x(cos(x)+sin(x)) dx

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it's me

Rann Bergamo

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3 ways: derivative a^(f(x)g(x))

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log 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫ln(ln(x))/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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