Question

Integral of the square of a positive continuous function

score 52 · Answer 1 · 2026-04-12 04:39:19

52

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Integral of the square of a positive continuous function

Published on 12 Apr 2026 - 4:39

score 66 · Answer 2 · 2026-03-25 23:51:50

66

Views

Upper bound of the integral $\int_\delta^\infty t^m e^{-\nu t^2} dt$

Published on 25 Mar 2026 - 23:51

score 480 · Answer 3 · 2026-04-17 07:46:38

480

Views

Evaluate $\int^{\infty}_{-\infty}\sin(xe^x)dx$

Published on 17 Apr 2026 - 7:46

score 40 · Answer 4 · 2026-03-25 08:10:53

40

Views

An improper integral of an inverse of a square root of a higher degree polynomial.

Published on 25 Mar 2026 - 8:10

score 77 · Answer 5 · 2026-04-10 18:07:56

77

Views

Proving the existence of sine and cosine Fourier transforms

Published on 10 Apr 2026 - 18:07

score 215 · Answer 6 · 2026-04-17 13:49:00

215

Views

Evaluation of $\int_{0}^{\infty} \, \frac{x^\alpha \log^n{(x^\beta)}}{k^m+x^m}\, dx$

Published on 17 Apr 2026 - 13:49

score 532 · Answer 7 · 2026-04-15 10:42:23

532

Views

How to evaluate $\int_{0}^{\frac{\pi}{2}} \frac{\cos(x)}{(1 + \sqrt{\sin(2x)})^n} \,dx$

Published on 15 Apr 2026 - 10:42

score 63 · Answer 8 · 2026-04-13 19:33:30

63

Views

Convergence of an improper integral involving the difference of roots

Published on 13 Apr 2026 - 19:33

score 36 · Answer 9 · 2026-04-11 01:45:43

36

Views

Complex integral from quantum mechanics

Published on 11 Apr 2026 - 1:45

score 129 · Answer 10 · 2026-04-16 21:32:06

129

Views

How to evaluate $\int_0^{\infty } \left(\frac{1}{(x+1)^2 \log (x+1)}-\frac{\log (x+1) \tan ^{-1}(x)}{x^3}\right) \, dx$

Published on 16 Apr 2026 - 21:32

score 68 · Answer 11 · 2026-04-17 14:34:01

68

Views

Does $\int_0^{+\infty}\frac{\ln(1+x^n)-\ln(1+x^{n+1})}{(1+x^2)\ln(x)}\, dx$ converge? How?

Published on 17 Apr 2026 - 14:34

score 129 · Answer 12 · 2026-04-17 11:00:45

129

Views

Is there other method to deal with $\int_0^1 \int_0^1\frac{\ln^m (1+x y)}{(1+x y)^n}d x d y,$ where $m\ge 3?$

Published on 17 Apr 2026 - 11:00

score 84 · Answer 13 · 2026-04-11 13:29:00

84

Views

Ask for solutions to two improper integrals whose integrands contain the integer powers of the sine function

Published on 11 Apr 2026 - 13:29

score 60 · Answer 14 · 2026-04-17 06:32:49

60

Views

For what values of $p$ does $\int_0^1 \frac{\sin(1/x)}{x^p} \space dx$ converge?

Published on 17 Apr 2026 - 6:32

score 42 · Answer 15 · 2026-04-10 18:06:42

42

Views

Improper integral with parameter. For what value of a does the integral converge?

Published on 10 Apr 2026 - 18:06

List Question

Integral of the square of a positive continuous function

Upper bound of the integral $\int_\delta^\infty t^m e^{-\nu t^2} dt$

Evaluate $\int^{\infty}_{-\infty}\sin(xe^x)dx$

An improper integral of an inverse of a square root of a higher degree polynomial.

Proving the existence of sine and cosine Fourier transforms

Evaluation of $\int_{0}^{\infty} \, \frac{x^\alpha \log^n{(x^\beta)}}{k^m+x^m}\, dx$

How to evaluate $\int_{0}^{\frac{\pi}{2}} \frac{\cos(x)}{(1 + \sqrt{\sin(2x)})^n} \,dx$

Convergence of an improper integral involving the difference of roots

Complex integral from quantum mechanics

How to evaluate $\int_0^{\infty } \left(\frac{1}{(x+1)^2 \log (x+1)}-\frac{\log (x+1) \tan ^{-1}(x)}{x^3}\right) \, dx$

Does $\int_0^{+\infty}\frac{\ln(1+x^n)-\ln(1+x^{n+1})}{(1+x^2)\ln(x)}\, dx$ converge? How?

Is there other method to deal with $\int_0^1 \int_0^1\frac{\ln^m (1+x y)}{(1+x y)^n}d x d y,$ where $m\ge 3?$

Ask for solutions to two improper integrals whose integrands contain the integer powers of the sine function

For what values of $p$ does $\int_0^1 \frac{\sin(1/x)}{x^p} \space dx$ converge?

Improper integral with parameter. For what value of a does the integral converge?

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