List questions from improper-integrals

Published on 25 Mar 2026 - 8:05

470

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Compute the integral: $\int_{0}^{\frac{\pi}{2}}\ln(\sec(x)+\tan(x))\csc(x)dx$

Published on 16 Apr 2026 - 0:46

101

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How to show $\int_0^\infty \frac{t\ln x}{(x+1)^2+t^2}dx=\frac12\arctan(t)\ln(1+t^2)$

Published on 16 Apr 2026 - 18:21

1.7k

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Definite integral of infinite product

Published on 17 Apr 2026 - 1:17

89

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Property of the Dirac delta function definition

Published on 09 Apr 2026 - 0:14

133

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Evaluate the integral : $\int_0^{\ln2}\left(\frac{1}{e^x-1}-\lfloor\frac{1}{e^x-1}\rfloor\right)dx$

Published on 17 Apr 2026 - 0:33

108

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An integral involving Bessel functions

Published on 09 Apr 2026 - 18:56

50

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Contradiction on theorem of convergence for impoper integrals

Published on 09 Apr 2026 - 21:58

59

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Improper integral $\int_0^\infty\frac{\sin(\sin x)}xdx$

Published on 15 Apr 2026 - 20:17

233

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How can I solve the integral $\int_0^\infty \frac{\ln(x)}{e^x+1}~dx ?$

Published on 14 Apr 2026 - 17:40

87

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Is this integral done correctly $\int_{-\infty}^{\infty} \frac{x^2+3}{(x^2+4)^2} dx $

Published on 17 Apr 2026 - 6:57

332

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How to a function converges or diverges by comparison test?

Published on 17 Apr 2026 - 15:31

58

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Find the solution of the PDE using the Foruier transform method

Published on 12 Apr 2026 - 15:10

99

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Differentiation of an improper parametric integral

Published on 11 Apr 2026 - 20:49

106

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Calculating arc length of an infinite(?) curve

Published on 16 Apr 2026 - 0:37

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Decision/Logic tree behavior for solving integral convergence

Compute the integral: $\int_{0}^{\frac{\pi}{2}}\ln(\sec(x)+\tan(x))\csc(x)dx$

How to show $\int_0^\infty \frac{t\ln x}{(x+1)^2+t^2}dx=\frac12\arctan(t)\ln(1+t^2)$

Definite integral of infinite product

Property of the Dirac delta function definition

Evaluate the integral : $\int_0^{\ln2}\left(\frac{1}{e^x-1}-\lfloor\frac{1}{e^x-1}\rfloor\right)dx$

An integral involving Bessel functions

Contradiction on theorem of convergence for impoper integrals

Improper integral $\int_0^\infty\frac{\sin(\sin x)}xdx$

How can I solve the integral $\int_0^\infty \frac{\ln(x)}{e^x+1}~dx ?$

Is this integral done correctly $\int_{-\infty}^{\infty} \frac{x^2+3}{(x^2+4)^2} dx $

How to a function converges or diverges by comparison test?

Find the solution of the PDE using the Foruier transform method

Differentiation of an improper parametric integral

Calculating arc length of an infinite(?) curve

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