Question

Integration with a condition of constant values.

score 36 · Answer 1 · 2026-05-04 20:57:22

36

Views

Integration with a condition of constant values.

Published on 04 May 2026 - 20:57

score 290 · Answer 2 · 2026-04-16 08:10:38

290

Views

Show that the integral is divergent $\int_0^\infty\frac{\ dx}{1+x^2\sin^2x}$

Published on 16 Apr 2026 - 8:10

score 43 · Answer 3 · 2026-04-14 05:38:38

43

Views

Gamma Function Confusion

Published on 14 Apr 2026 - 5:38

score 108 · Answer 4 · 2026-04-13 21:27:08

108

Views

Find a function $f$ with given conditions

Published on 13 Apr 2026 - 21:27

score 178 · Answer 5 · 2026-04-16 03:35:34

178

Views

The easiest way to solve the improper integral $\int_0^{+\infty} \frac{\ln(t)}{(1+t^2)^4} {d}t$?

Published on 16 Apr 2026 - 3:35

score 130 · Answer 6 · 2026-04-10 02:27:20

130

Views

KH and Riemann integrals example

Published on 10 Apr 2026 - 2:27

score 56 · Answer 7 · 2026-04-10 16:15:28

56

Views

Integration solution needed with rational powers of $x$

Published on 10 Apr 2026 - 16:15

score 191 · Answer 8 · 2026-05-15 17:02:52

191

Views

Does this integral converge or diverge ? $\int_\Bbb R \left (\frac{2+\cos x}{3}\right )^{x^4}dx?$

Published on 15 May 2026 - 17:02

score 324 · Answer 9 · 2026-04-15 07:14:58

324

Views

Evaluate$ \int _0^{\infty} \frac{\operatorname{sech}^{k}(x)}{\cosh(2\pi/k)-\cos(2x)}\,dx $ for $k=1,2$

Published on 15 Apr 2026 - 7:14

score 1.9k · Answer 10 · 2026-03-26 23:11:16

1.9k

Views

Unclear Infinite Integration by parts: $\int_0^{\infty} xe^{-x}~dx$

Published on 26 Mar 2026 - 23:11

score 52 · Answer 11 · 2026-04-18 00:55:54

52

Views

Proving $I_{n+1,a}= \frac{2n-1}{2n} \cdot I_{n,a}$ given $I_{n,a}=\int_{-\infty} ^{\infty} \frac{dx}{(1+\frac{x^2}{a})^n}$

Published on 18 Apr 2026 - 0:55

score 246 · Answer 12 · 2026-04-16 03:55:02

246

Views

Given a decreasing function s.t. $\int_0^\infty f(x)\,dx<\infty,$ prove $\sum_{n=1}^\infty f(na)$ converges

Published on 16 Apr 2026 - 3:55

score 148 · Answer 13 · 2026-04-13 23:37:18

148

Views

Construct a continuous function such that $\int_{-\infty}^\infty|f(x)|\,dx<\infty$ but $\lim_{x\to \infty}|f(x)|$ does not exists.

Published on 13 Apr 2026 - 23:37

score 161 · Answer 14 · 2026-04-16 08:08:07

161

Views

Show that $\int_0^\infty\frac{1}{x ((\ln x)^2+1)^p}dx$ converges for any $p\geq 1$ and find its value.

Published on 16 Apr 2026 - 8:08

score 83 · Answer 15 · 2026-04-16 22:24:36

83

Views

Is it true that $\int_0^\infty \left|\frac{1}{x^{1/p} ((\ln x)^2+1)}\right|^q dx$ divergent for $q \neq p?$

Published on 16 Apr 2026 - 22:24

List Question

Integration with a condition of constant values.

Show that the integral is divergent $\int_0^\infty\frac{\ dx}{1+x^2\sin^2x}$

Gamma Function Confusion

Find a function $f$ with given conditions

The easiest way to solve the improper integral $\int_0^{+\infty} \frac{\ln(t)}{(1+t^2)^4} {d}t$?

KH and Riemann integrals example

Integration solution needed with rational powers of $x$

Does this integral converge or diverge ? $\int_\Bbb R \left (\frac{2+\cos x}{3}\right )^{x^4}dx?$

Evaluate$ \int _0^{\infty} \frac{\operatorname{sech}^{k}(x)}{\cosh(2\pi/k)-\cos(2x)}\,dx $ for $k=1,2$

Unclear Infinite Integration by parts: $\int_0^{\infty} xe^{-x}~dx$

Proving $I_{n+1,a}= \frac{2n-1}{2n} \cdot I_{n,a}$ given $I_{n,a}=\int_{-\infty} ^{\infty} \frac{dx}{(1+\frac{x^2}{a})^n}$

Given a decreasing function s.t. $\int_0^\infty f(x)\,dx<\infty,$ prove $\sum_{n=1}^\infty f(na)$ converges

Construct a continuous function such that $\int_{-\infty}^\infty|f(x)|\,dx<\infty$ but $\lim_{x\to \infty}|f(x)|$ does not exists.

Show that $\int_0^\infty\frac{1}{x ((\ln x)^2+1)^p}dx$ converges for any $p\geq 1$ and find its value.

Is it true that $\int_0^\infty \left|\frac{1}{x^{1/p} ((\ln x)^2+1)}\right|^q dx$ divergent for $q \neq p?$

Trending Questions

Popular # Hahtags

Popular Questions