List questions from improper-integrals

Published on 10 Apr 2026 - 10:26

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Using Mean Value Theorem for Integrals to prove Generalized MVT

Published on 12 Apr 2026 - 5:15

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How to find $\int_0^\infty\frac{\log\left(\frac{1+x^{4+\sqrt{15}}}{1+x^{2+\sqrt{3}}}\right)}{\left(1+x^2\right)\log x}\mathrm dx$

Published on 18 Apr 2026 - 13:37

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Solution of some Bessel integrals

Published on 13 Apr 2026 - 14:11

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Integration do not know how to proceed: $\int_0^{\infty}\frac{\ln(x+1)}{x\cdot(x+1)^\frac14} dx$

Published on 17 Apr 2026 - 0:00

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Evaluate $\int_0^1\frac{x^3 - x^2}{\ln x}\,\mathrm dx$?

Published on 17 Apr 2026 - 11:57

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How can I interchanging variables of integral in three dimensional

Published on 09 Apr 2026 - 19:27

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Integral $\int_0^1\frac{\log(1-x)}{\sqrt{x-x^3}}dx$

Published on 16 Apr 2026 - 20:28

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Mean value over an infinite interval

Published on 16 Apr 2026 - 23:08

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Solution of definite integrals involving incomplete Gamma function

Published on 15 Apr 2026 - 8:24

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Is this improper integral answer correct?

Published on 15 Apr 2026 - 21:17

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Integral $\int_0^1\frac{1-x^2+\left(1+x^2\right)\ln x}{\left(x+x^2\right)\ln^3x}dx$

Published on 17 Apr 2026 - 4:09

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What is $\int \sec^3 x \ dx$?

Published on 10 Apr 2026 - 8:20

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Integral $\int_0^{\infty } \frac{1}{(\alpha x^2 + 1) \left(- 2 \sqrt{\frac{ x^2}{x^2+1}}+2 x+\pi \right)} \, dx$

Published on 17 Apr 2026 - 3:22

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A integral involving Riemann zeta function and Gamma function: $\int_{0}^{\infty}\frac{x^{s-1}}{e^{x}-1}\,dx=\zeta(s)\Gamma(s) $

Published on 15 Apr 2026 - 21:55

List Question

interchanging variables in triple integral

Using Mean Value Theorem for Integrals to prove Generalized MVT

How to find $\int_0^\infty\frac{\log\left(\frac{1+x^{4+\sqrt{15}}}{1+x^{2+\sqrt{3}}}\right)}{\left(1+x^2\right)\log x}\mathrm dx$

Solution of some Bessel integrals

Integration do not know how to proceed: $\int_0^{\infty}\frac{\ln(x+1)}{x\cdot(x+1)^\frac14} dx$

Evaluate $\int_0^1\frac{x^3 - x^2}{\ln x}\,\mathrm dx$?

How can I interchanging variables of integral in three dimensional

Integral $\int_0^1\frac{\log(1-x)}{\sqrt{x-x^3}}dx$

Mean value over an infinite interval

Solution of definite integrals involving incomplete Gamma function

Is this improper integral answer correct?

Integral $\int_0^1\frac{1-x^2+\left(1+x^2\right)\ln x}{\left(x+x^2\right)\ln^3x}dx$

What is $\int \sec^3 x \ dx$?

Integral $\int_0^{\infty } \frac{1}{(\alpha x^2 + 1) \left(- 2 \sqrt{\frac{ x^2}{x^2+1}}+2 x+\pi \right)} \, dx$

A integral involving Riemann zeta function and Gamma function: $\int_{0}^{\infty}\frac{x^{s-1}}{e^{x}-1}\,dx=\zeta(s)\Gamma(s) $

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