Question

The roots of $\tan(x)-x$ approaches $\frac{\pi}2 + n\pi$

score 105 · Answer 1 · 2026-04-15 03:26:05

105

Views

The roots of $\tan(x)-x$ approaches $\frac{\pi}2 + n\pi$

Published on 15 Apr 2026 - 3:26

score 35 · Answer 2 · 2026-04-15 09:04:16

35

Views

What is the technical reason that $\mathcal{L}(e^{-zt})=\int_{0^-}^\infty e^{-(x+\alpha+i(\beta+y))t}dt$ diverges when $x+\alpha=0$?

Published on 15 Apr 2026 - 9:04

score 32 · Answer 3 · 2026-04-16 07:24:46

If $f$ is monotonic decreasing and if $\lim_{n\to\infty} I_n$ exists, where $I_n=\int_1^n f(t)dt$, then the integral $\int_1^\infty f(x)dx$ converges.

score 26 · Answer 4 · 2026-04-13 04:17:42

26

Views

Proving p-series convergence test

Published on 13 Apr 2026 - 4:17

score 123 · Answer 5 · 2026-04-16 04:38:01

123

Views

Calculate the improper integral $\int_{B(\mathbf{0}, 1)} \frac{\mathrm{d} x \mathrm{~d} y \mathrm{~d} z}{1-a x-b y-c z}$

Published on 16 Apr 2026 - 4:38

score 46 · Answer 6 · 2026-04-16 11:54:24

46

Views

Prove $\int_2^\infty \frac{sin^2(x)}{x^\alpha(x^\alpha + \sin(x))}dx$ is divergent for $0 < \alpha \leq 1/2$

Published on 16 Apr 2026 - 11:54

score 145 · Answer 7 · 2026-04-09 09:03:22

145

Views

Finding length of function using improper integral

Published on 09 Apr 2026 - 9:03

score 35 · Answer 8 · 2026-04-13 23:38:17

35

Views

When is this (gamma integral like) integral finite?

Published on 13 Apr 2026 - 23:38

score 155 · Answer 9 · 2026-04-14 20:45:28

155

Views

How to find $\int_{2}^{\infty} \frac{dx}{x^2 \ln^\alpha(x)}$

Published on 14 Apr 2026 - 20:45

score 851 · Answer 10 · 2026-04-16 15:19:01

851

Views

Convergence of $\int_{1}^{\infty} \frac{\sin x}{x^{\alpha}}dx$

Published on 16 Apr 2026 - 15:19

score 1.7k · Answer 11 · 2026-04-14 00:19:34

1.7k

Views

Improper integral comparison test $\frac{\sin(x)}{x^2}$

Published on 14 Apr 2026 - 0:19

score 606 · Answer 12 · 2026-04-17 00:31:39

606

Views

Prove that $\int_{-\infty}^{+\infty} \frac{1}{x^4+x^2+1}dx = \frac{\pi}{\sqrt{3}}$

Published on 17 Apr 2026 - 0:31

score 109 · Answer 13 · 2026-04-16 05:29:58

109

Views

An improper integrals related to probability, $\int_0^\infty\frac1y \exp(\frac{-x_0}y-y)\,dy$

Published on 16 Apr 2026 - 5:29

score 62 · Answer 14 · 2026-04-15 21:08:21

62

Views

Integral $\int_0^\infty |x-c|e^{-2x}dx$

Published on 15 Apr 2026 - 21:08

score 283 · Answer 15 · 2026-04-12 18:32:42

283

Views

Orientation of multiplying integrals

Published on 12 Apr 2026 - 18:32

List Question

The roots of $\tan(x)-x$ approaches $\frac{\pi}2 + n\pi$

What is the technical reason that $\mathcal{L}(e^{-zt})=\int_{0^-}^\infty e^{-(x+\alpha+i(\beta+y))t}dt$ diverges when $x+\alpha=0$?

If $f$ is monotonic decreasing and if $\lim_{n\to\infty} I_n$ exists, where $I_n=\int_1^n f(t)dt$, then the integral $\int_1^\infty f(x)dx$ converges.

Proving p-series convergence test

Calculate the improper integral $\int_{B(\mathbf{0}, 1)} \frac{\mathrm{d} x \mathrm{~d} y \mathrm{~d} z}{1-a x-b y-c z}$

Prove $\int_2^\infty \frac{sin^2(x)}{x^\alpha(x^\alpha + \sin(x))}dx$ is divergent for $0 < \alpha \leq 1/2$

Finding length of function using improper integral

When is this (gamma integral like) integral finite?

How to find $\int_{2}^{\infty} \frac{dx}{x^2 \ln^\alpha(x)}$

Convergence of $\int_{1}^{\infty} \frac{\sin x}{x^{\alpha}}dx$

Improper integral comparison test $\frac{\sin(x)}{x^2}$

Prove that $\int_{-\infty}^{+\infty} \frac{1}{x^4+x^2+1}dx = \frac{\pi}{\sqrt{3}}$

An improper integrals related to probability, $\int_0^\infty\frac1y \exp(\frac{-x_0}y-y)\,dy$

Integral $\int_0^\infty |x-c|e^{-2x}dx$

Orientation of multiplying integrals

Trending Questions

Popular # Hahtags

Popular Questions