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Posts tagged improper-integral

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Q&A Example of $f:[0,1]\to\mathbf{R}$ with $\lim_{a\to 0^+}\int_a^1f(x)dx=L $ for some real number $L$ but $\int_0^1|f(x)|dx=\infty $

2 answers · posted 2y ago by Snoopy‭ · last activity 9mo ago by Michael Hardy‭

Question real-analysis improper-integral

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Q&A Why is $ \int_0^{\infty}\left|\frac{\sin x}{x}\right|\ dx=\infty$?

1 answer · posted 1y ago by Snoopy‭ · last activity 1y ago by Snoopy‭

Question real-analysis improper-integral

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Q&A differentiate under integral sign says something went wrong

1 answer · posted 3y ago by deleted user · last activity 3y ago by celtschk‭

Question calculus multivariable-calculus differentiation integration improper-integral

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