Question

Finding out if $\int_{0}^{\infty} \frac{x \arctan{x}}{x^{2}+2x+3} dx$ converges or diverges.

score 51 · Answer 1 · 2026-03-29 07:29:18

51

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Finding out if $\int_{0}^{\infty} \frac{x \arctan{x}}{x^{2}+2x+3} dx$ converges or diverges.

Published on 29 Mar 2026 - 7:29

score 136 · Answer 2 · 2020-05-13 23:22:24

136

Views

Improper integral of $\int\limits_{-1}^{1} \frac{\arctan{(5x+2)}}{\sqrt{1-x^2}} dx.$

Published on 13 May 2020 - 23:22

score 193 · Answer 3 · 2020-05-14 09:08:57

193

Views

Logarithmically divergent integrals

Published on 14 May 2020 - 9:08

score 41 · Answer 4 · 2020-05-15 01:25:20

41

Views

When does $\int_0^{0.5} x^{n-5000}(\log(x))^{-50}dx$ converge?

Published on 15 May 2020 - 1:25

score 35 · Answer 5 · 2020-05-15 01:30:13

35

Views

The convergence or divergence of the $\int_{1}^{\infty}\ln (\cos\frac{1}{x}+\sin\frac{1}{x}) \Bbb{d}x$

Published on 15 May 2020 - 1:30

score 712 · Answer 6 · 2020-05-15 09:08:09

712

Views

Evaluate $\int _0^{\infty }\frac{\ln \left(x^5+1\right)}{x^2+1}\:dx$ with real methods

Published on 15 May 2020 - 9:08

score 122 · Answer 7 · 2026-03-25 12:52:12

122

Views

Jordan Lemma not applying

Published on 25 Mar 2026 - 12:52

score 38 · Answer 8 · 2020-05-15 14:34:18

38

Views

Determine the convergence of the improper integral

Published on 15 May 2020 - 14:34

score 67 · Answer 9 · 2026-04-07 18:59:24

67

Views

Show that an integral does not exists

Published on 07 Apr 2026 - 18:59

score 112 · Answer 10 · 2020-05-15 23:56:40

112

Views

How to prove that the improper integral $\int_0^{+\infty}\sin(\frac{\cos(x)}{\sqrt{x}})dx$ is convergent.

Published on 15 May 2020 - 23:56

score 127 · Answer 11 · 2020-05-16 08:07:09

127

Views

Compute $\int_0^{+\infty} \frac{e^{-t}}{t^4+1}dt$

Published on 16 May 2020 - 8:07

score 549 · Answer 12 · 2020-05-16 12:53:54

549

Views

Determining the convergence of $\int_0^{1/2} \frac{\cos(x)}{\sqrt x + x} dx$

Published on 16 May 2020 - 12:53

score 72 · Answer 13 · 2020-05-17 00:13:18

72

Views

Generalization of certain type of rational integrals

Published on 17 May 2020 - 0:13

score 43 · Answer 14 · 2020-05-17 04:49:45

43

Views

Calculating a convergent improper integral with infinite series diverges

Published on 17 May 2020 - 4:49

score 118 · Answer 15 · 2020-05-17 05:31:01

118

Views

Evaluate $\int_0^{\infty} \frac{ dx }{(x^4+c)(x^2+1) } $

Published on 17 May 2020 - 5:31

List Question

Finding out if $\int_{0}^{\infty} \frac{x \arctan{x}}{x^{2}+2x+3} dx$ converges or diverges.

Improper integral of $\int\limits_{-1}^{1} \frac{\arctan{(5x+2)}}{\sqrt{1-x^2}} dx.$

Logarithmically divergent integrals

When does $\int_0^{0.5} x^{n-5000}(\log(x))^{-50}dx$ converge?

The convergence or divergence of the $\int_{1}^{\infty}\ln (\cos\frac{1}{x}+\sin\frac{1}{x}) \Bbb{d}x$

Evaluate $\int _0^{\infty }\frac{\ln \left(x^5+1\right)}{x^2+1}\:dx$ with real methods

Jordan Lemma not applying

Determine the convergence of the improper integral

Show that an integral does not exists

How to prove that the improper integral $\int_0^{+\infty}\sin(\frac{\cos(x)}{\sqrt{x}})dx$ is convergent.

Compute $\int_0^{+\infty} \frac{e^{-t}}{t^4+1}dt$

Determining the convergence of $\int_0^{1/2} \frac{\cos(x)}{\sqrt x + x} dx$

Generalization of certain type of rational integrals

Calculating a convergent improper integral with infinite series diverges

Evaluate $\int_0^{\infty} \frac{ dx }{(x^4+c)(x^2+1) } $

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