List questions from improper-integrals

Published on 10 May 2026 - 12:15

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How to tell if this integral converges?

Published on 04 May 2026 - 16:28

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Convergence of an improper integral with the hyperbolic sine

Published on 04 May 2026 - 16:28

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Convergence of $\int_1^{+\infty} x^a e^{bx}\, dx$

Published on 04 May 2026 - 16:27

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About an equivalent of $\displaystyle \int_{0}^{+\infty}\frac{\text{d}x}{\left(\alpha^2+x^2\right)^n}$ [ Checking a result ]

Published on 04 May 2026 - 16:28

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Question related to beta and gamma function

Published on 03 May 2026 - 17:35

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Determine F(3) and F(1/$\lambda$) from a frequency function

Published on 04 May 2026 - 16:28

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Parametric integral convergence

Published on 04 May 2026 - 16:28

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Finding the values of $a$ and $\alpha$ for which the integral exists

Published on 04 May 2026 - 16:27

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Evaluating an integral containing the generating function of the Bernoulli polynomials

Published on 10 May 2026 - 11:19

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Integration of the exponential radial function

Published on 04 May 2026 - 16:27

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Evaluate $\int_0^\infty\frac{\sin(\varphi_1x)}x\frac{\sin\varphi_2x}x\cdots\frac{\sin\varphi_nx}x\frac{\sin(ax)}x\cos(a_1x)\cdots\cos(a_mx) \, dx$

Published on 10 May 2026 - 11:21

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Improper Integral Definitions and Infinite implications

Published on 10 May 2026 - 13:47

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Evaluate $ \int_0^\infty x^{a-1}\frac{\sin(\frac{1}{2}a \pi-bx)}{x^2+r^2}\, r\,dx $

Published on 07 May 2026 - 1:23

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Hypergeometric Function Proof

Published on 01 May 2026 - 6:41

List Question

Computing the integral $\int_{0}^{\infty}\frac{1-\cos x}{x^2}dx$ via complex analysis

How to tell if this integral converges?

Convergence of an improper integral with the hyperbolic sine

Convergence of $\int_1^{+\infty} x^a e^{bx}\, dx$

About an equivalent of $\displaystyle \int_{0}^{+\infty}\frac{\text{d}x}{\left(\alpha^2+x^2\right)^n}$ [ Checking a result ]

Question related to beta and gamma function

Determine F(3) and F(1/$\lambda$) from a frequency function

Parametric integral convergence

Finding the values of $a$ and $\alpha$ for which the integral exists

Evaluating an integral containing the generating function of the Bernoulli polynomials

Integration of the exponential radial function

Evaluate $\int_0^\infty\frac{\sin(\varphi_1x)}x\frac{\sin\varphi_2x}x\cdots\frac{\sin\varphi_nx}x\frac{\sin(ax)}x\cos(a_1x)\cdots\cos(a_mx) \, dx$

Improper Integral Definitions and Infinite implications

Evaluate $ \int_0^\infty x^{a-1}\frac{\sin(\frac{1}{2}a \pi-bx)}{x^2+r^2}\, r\,dx $

Hypergeometric Function Proof

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