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Type 1 improper integrals! calculus 2

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so you want a HARD integral from the Berkeley Math Tournament

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Calculus 2 Final Review || Techniques of Integration, Sequences & Series, Parametric, Polar & More!

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Feynman's technique is the greatest integration method of all time

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I heard 1/2+1/3+1/4+... goes to infinity but I didn't think it would go past 3. Reddit r/learnmath

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You don't need calculus for this question

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Calculus teacher vs L'Hopital's rule students