Question

Question on reasoning for $\int_1^\infty\frac{\sin(x)}{x}dx$ to converge

score 432 · Answer 1 · 2026-04-13 22:34:37

432

Views

Question on reasoning for $\int_1^\infty\frac{\sin(x)}{x}dx$ to converge

Published on 13 Apr 2026 - 22:34

score 139 · Answer 2 · 2026-04-16 12:23:33

139

Views

Is this equality $\lim_{x \to \infty} \int_0^x \frac{t^2}{2(e^t-1)}\mathrm{d}t=\lim_{n \to \infty}\sum_{k=1}^n \frac{1}{k^3}$ true?

Published on 16 Apr 2026 - 12:23

score 137 · Answer 3 · 2026-04-09 00:38:02

137

Views

How to calculate Lebesgue integral in this type?

Published on 09 Apr 2026 - 0:38

score 127 · Answer 4 · 2026-04-17 13:32:12

127

Views

Any good approximation for this integral?

Published on 17 Apr 2026 - 13:32

score 131 · Answer 5 · 2026-04-15 16:44:10

131

Views

Convergence of an integral $\int_1^{+\infty} \frac{\ln^2(1+x)}{x^{2\alpha}}\mathrm dx$

Published on 15 Apr 2026 - 16:44

score 332 · Answer 6 · 2026-04-16 13:50:45

332

Views

Evaluating the improper integral $\int_0^{\infty}\frac{dx}{1+x^3}$

Published on 16 Apr 2026 - 13:50

score 711 · Answer 7 · 2026-04-14 12:16:09

711

Views

Is the improper integral $\int_0^{\pi/2} \sqrt{\cot x}\, dx$ convergent?

Published on 14 Apr 2026 - 12:16

score 11.2k · Answer 8 · 2026-04-03 13:19:41

11.2k

Views

Integrating an integrand with an absolute value on exponential

Published on 03 Apr 2026 - 13:19

score 48 · Answer 9 · 2026-04-23 15:39:15

48

Views

Integrating this (rather messy) integral and determining the limiting behaviour

Published on 23 Apr 2026 - 15:39

score 80 · Answer 10 · 2026-04-23 20:29:57

80

Views

How do I change integration order?

Published on 23 Apr 2026 - 20:29

score 1.9k · Answer 11 · 2026-04-17 14:38:43

1.9k

Views

Evaluating the integral $\int_{-\infty}^\infty x^2\frac{1}{\sqrt{2\pi}}e^{-\frac{1}{2}x^2} \ dx$

Published on 17 Apr 2026 - 14:38

score 89 · Answer 12 · 2026-04-17 15:29:05

89

Views

When is $\int_1^\infty \frac{x+\sqrt{x+\ln(x+2)}}{(x^a+\cos x)^{1/3}}\,\mathrm{d}x$ finite?

Published on 17 Apr 2026 - 15:29

score 400 · Answer 13 · 2026-04-16 01:40:11

400

Views

Could we solve $\int_{0}^{\infty}\sin(x)dx$ and what does it say about $\lim_{x\to\infty}\cos(x)$?

Published on 16 Apr 2026 - 1:40

score 413 · Answer 14 · 2026-04-11 22:11:31

413

Views

How to solve this integral $\int _0^{\infty} e^{-x^3+2x^2+1}\,\mathrm{d}x$

Published on 11 Apr 2026 - 22:11

score 139 · Answer 15 · 2026-04-14 00:59:12

139

Views

Determine if the improper integral converges

Published on 14 Apr 2026 - 0:59

List Question

Question on reasoning for $\int_1^\infty\frac{\sin(x)}{x}dx$ to converge

Is this equality $\lim_{x \to \infty} \int_0^x \frac{t^2}{2(e^t-1)}\mathrm{d}t=\lim_{n \to \infty}\sum_{k=1}^n \frac{1}{k^3}$ true?

How to calculate Lebesgue integral in this type?

Any good approximation for this integral?

Convergence of an integral $\int_1^{+\infty} \frac{\ln^2(1+x)}{x^{2\alpha}}\mathrm dx$

Evaluating the improper integral $\int_0^{\infty}\frac{dx}{1+x^3}$

Is the improper integral $\int_0^{\pi/2} \sqrt{\cot x}\, dx$ convergent?

Integrating an integrand with an absolute value on exponential

Integrating this (rather messy) integral and determining the limiting behaviour

How do I change integration order?

Evaluating the integral $\int_{-\infty}^\infty x^2\frac{1}{\sqrt{2\pi}}e^{-\frac{1}{2}x^2} \ dx$

When is $\int_1^\infty \frac{x+\sqrt{x+\ln(x+2)}}{(x^a+\cos x)^{1/3}}\,\mathrm{d}x$ finite?

Could we solve $\int_{0}^{\infty}\sin(x)dx$ and what does it say about $\lim_{x\to\infty}\cos(x)$?

How to solve this integral $\int _0^{\infty} e^{-x^3+2x^2+1}\,\mathrm{d}x$

Determine if the improper integral converges

Trending Questions

Popular # Hahtags

Popular Questions