List questions from improper-integrals

Published on 12 Apr 2026 - 2:32

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Does improper integral converge?

Published on 09 Apr 2026 - 14:22

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Curious Integral Proof

Published on 12 Apr 2026 - 15:38

350

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Does $\int_{1}^{2}\frac{dx}{\sqrt{(2-x)\ln(x)}}$ converge?

Published on 16 Apr 2026 - 14:05

833

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Is there a nice way to find this integral $\int_0^1\frac{ \arcsin x}{x} \mathrm{d}x$?

Published on 14 Apr 2026 - 16:22

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Riemann sums using improper integrals

Published on 12 Apr 2026 - 3:28

566

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Integration of $\int_0^\infty\frac{\sin^2x}{x^2}dx$

Published on 16 Apr 2026 - 5:39

96

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Doeas $ \int_0^{0.5} \frac{\mathrm dx}{\sin x\ln x} $ exist?

Published on 17 Apr 2026 - 1:20

230

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Convergence of $\int_0^1 \frac{\sqrt{x-x^2}\ln(1-x)}{\sin{\pi x^2}} \mathrm{d}x.$

Published on 15 Apr 2026 - 4:41

1.9k

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Convergence of integral $\int_{0}^{\infty}{\frac{1}{x^{3}-1}}dx$

Published on 15 Apr 2026 - 23:46

205

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Analytical closed form for a definite integral

Published on 13 Apr 2026 - 0:15

79

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Improper integral properies

Published on 09 Apr 2026 - 11:52

496

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Are the integration contours of this improper integral properly selected?

Published on 17 Apr 2026 - 20:49

647

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Limit $\lim \limits_{z\rightarrow 0^+} z \int_1^\infty x^2 e^{-zx^2-zx} \mathrm dx $

Published on 16 Apr 2026 - 6:34

429

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Integral approximation with divergent integrand

Published on 12 Apr 2026 - 3:15

List Question

How to find this $\iint_{D}f(x)\,dxdy$

Does improper integral converge?

Curious Integral Proof

Does $\int_{1}^{2}\frac{dx}{\sqrt{(2-x)\ln(x)}}$ converge?

Is there a nice way to find this integral $\int_0^1\frac{ \arcsin x}{x} \mathrm{d}x$?

Riemann sums using improper integrals

Integration of $\int_0^\infty\frac{\sin^2x}{x^2}dx$

Doeas $ \int_0^{0.5} \frac{\mathrm dx}{\sin x\ln x} $ exist?

Convergence of $\int_0^1 \frac{\sqrt{x-x^2}\ln(1-x)}{\sin{\pi x^2}} \mathrm{d}x.$

Convergence of integral $\int_{0}^{\infty}{\frac{1}{x^{3}-1}}dx$

Analytical closed form for a definite integral

Improper integral properies

Are the integration contours of this improper integral properly selected?

Limit $\lim \limits_{z\rightarrow 0^+} z \int_1^\infty x^2 e^{-zx^2-zx} \mathrm dx $

Integral approximation with divergent integrand

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