derivative x^n vs n^x vs x^x

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

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

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

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#6 2024 MIT Integration Bee Qualifying Exam

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2nd way: trig integral ∫(sec(x) tan(x))/(sec^2(x)-sec(x)) dx

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

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3 ways: Derivative x^(-1/x)

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laojiangpower

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

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derivative Find d2y/dx2 for this function y=ln(x)/(1-x)

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trig integral ∫sec(x) dx =

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2nd way: trig integral ∫ 1/( √3 sin(x) + cos(x)) dx

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Find the power set of each of the following sets ...

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2nd/2parts: Linear interpolation (2 given points)

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trig integral cos^2(x) sin(x) dx

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