1st/2 ways: trig integral (1-tan^2(x))/(1+tan^2(x)) dx

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

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5 ways: integral ∫a^(px+q) dx

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5th way: Columbia U integral 1/(1+e^x) dx

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impIicit diff f x^y=y^x, find dy/dx at (2,4)

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2nd way: (x^(e-1) +e^(x-1))/e^x +x^e) dx

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2nd/2 way: trig show sin(2x)=2tan(x)/(1+tan^2(x))=2cot(x)/(1+cot^2(x))

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