Question

The integrals $\int_0^\infty \frac{\mathrm{d}x}{(a+bx^c)^d(e+fx^g)^h}$ and $\int_0^\infty \frac{x^e}{(a+bx^c)^d}\mathrm{d}x$

score 95 · Answer 1 · 2026-03-28 08:35:37

95

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The integrals $\int_0^\infty \frac{\mathrm{d}x}{(a+bx^c)^d(e+fx^g)^h}$ and $\int_0^\infty \frac{x^e}{(a+bx^c)^d}\mathrm{d}x$

Published on 28 Mar 2026 - 8:35

score 187 · Answer 2 · 2019-04-14 22:43:56

187

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Improper Integral Question (exponential integral)

Published on 14 Apr 2019 - 22:43

score 26 · Answer 3 · 2019-04-15 01:47:53

26

Views

A convergent improper integral with $\int k\chi_{\{f>k\}}$ divergent

Published on 15 Apr 2019 - 1:47

score 107 · Answer 4 · 2026-03-17 22:12:26

107

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Asymptotic behavior of Fresnel-like integral of an exponential

Published on 17 Mar 2026 - 22:12

score 67 · Answer 5 · 2019-04-16 06:21:23

67

Views

A doubt about an integration

Published on 16 Apr 2019 - 6:21

score 165 · Answer 6 · 2019-04-17 17:33:39

165

Views

Definite Integral evaluation and limit change of $\int_0^{\pi/2}\frac{\cos x}{\sqrt{1-\sin x}}\,dx $

Published on 17 Apr 2019 - 17:33

score 211 · Answer 7 · 2019-04-18 17:18:26

211

Views

How to compute this improper integral?

Published on 18 Apr 2019 - 17:18

score 819 · Answer 8 · 2019-04-18 21:44:20

819

Views

Evaluate the definite integral $\int^{\infty }_{0}\frac{x \,dx}{e^{x} -1}$ using contour integration

Published on 18 Apr 2019 - 21:44

score 66 · Answer 9 · 2019-04-21 18:23:59

66

Views

Need help with an Improper integral

Published on 21 Apr 2019 - 18:23

score 220 · Answer 10 · 2026-03-26 00:59:56

220

Views

What's wrong with this proof that $0 = 1$?

Published on 26 Mar 2026 - 0:59

score 89 · Answer 11 · 2026-03-30 08:11:36

89

Views

Can dominated convergence justify commuting two limits?

Published on 30 Mar 2026 - 8:11

score 52 · Answer 12 · 2019-04-23 16:27:56

52

Views

Find an example to a function $f$ so $f>0$, $\lim_{x\to\infty} f(x)$ does not exist and $\int\limits_{1}^{\infty} f(x) dx<\infty$

Published on 23 Apr 2019 - 16:27

score 77 · Answer 13 · 2019-04-24 16:13:52

77

Views

Use Direct Comparison test to show Divergence

Published on 24 Apr 2019 - 16:13

score 104 · Answer 14 · 2019-04-25 01:48:14

104

Views

What is $\int_b^\infty\frac{\ln x}{x^2+1}dx$?

Published on 25 Apr 2019 - 1:48

score 100 · Answer 15 · 2026-03-30 20:42:52

100

Views

prove the equivalence of integral asymptotic

Published on 30 Mar 2026 - 20:42

List Question

The integrals $\int_0^\infty \frac{\mathrm{d}x}{(a+bx^c)^d(e+fx^g)^h}$ and $\int_0^\infty \frac{x^e}{(a+bx^c)^d}\mathrm{d}x$

Improper Integral Question (exponential integral)

A convergent improper integral with $\int k\chi_{\{f>k\}}$ divergent

Asymptotic behavior of Fresnel-like integral of an exponential

A doubt about an integration

Definite Integral evaluation and limit change of $\int_0^{\pi/2}\frac{\cos x}{\sqrt{1-\sin x}}\,dx $

How to compute this improper integral?

Evaluate the definite integral $\int^{\infty }_{0}\frac{x \,dx}{e^{x} -1}$ using contour integration

Need help with an Improper integral

What's wrong with this proof that $0 = 1$?

Can dominated convergence justify commuting two limits?

Find an example to a function $f$ so $f>0$, $\lim_{x\to\infty} f(x)$ does not exist and $\int\limits_{1}^{\infty} f(x) dx<\infty$

Use Direct Comparison test to show Divergence

What is $\int_b^\infty\frac{\ln x}{x^2+1}dx$?

prove the equivalence of integral asymptotic

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