Question

Convergence of Riemann integral of composition of functions

score 59 · Answer 1 · 2018-05-03 09:21:29

59

Views

Convergence of Riemann integral of composition of functions

Published on 03 May 2018 - 9:21

score 47 · Answer 2 · 2018-05-03 09:51:18

47

Views

If $\int_{0+}^{1-} |f(x)|^p dx$ converges for some $p > 1$, then$\int_{0+}^{1-} |f(x)| dx$ converges.

Published on 03 May 2018 - 9:51

score 77 · Answer 3 · 2018-05-03 12:57:52

77

Views

If $\lim_{x\rightarrow \infty} f(x) = 0, \int_a^\infty f'(x)dx$ is absolutely convergent, prove that $\int_a^\infty f(x)\sin x dx$ converges

Published on 03 May 2018 - 12:57

score 27 · Answer 4 · 2018-05-03 13:04:42

27

Views

Continuity of the function $F(y)=\int\limits_0^{+\infty}ye^{-(x-y)^4}dx$

Published on 03 May 2018 - 13:04

score 103 · Answer 5 · 2018-05-05 16:24:08

103

Views

Convergent integral $\int_0^{+\infty}\frac{\ln (1+x^2)}{1+x^2}dx=\pi \ln(2)$

Published on 05 May 2018 - 16:24

score 830 · Answer 6 · 2026-03-20 04:36:23

830

Views

How to approximate the following improper integral by using Simpson's rule

Published on 20 Mar 2026 - 4:36

score 170 · Answer 7 · 2018-05-06 19:07:36

170

Views

Function limit and sequence limit equivalent?

Published on 06 May 2018 - 19:07

score 65 · Answer 8 · 2018-05-07 10:04:21

65

Views

Integral evaluation problem on R

Published on 07 May 2018 - 10:04

score 50 · Answer 9 · 2018-05-07 12:25:25

50

Views

How to solve this improper integral

Published on 07 May 2018 - 12:25

score 62 · Answer 10 · 2018-05-07 14:25:48

62

Views

Solve the improper integral $\int_{-\infty}^{+\infty}{\frac{1}{|x^2-1|^\alpha}dx}$ at the variation of the value of $\alpha$

Published on 07 May 2018 - 14:25

score 68 · Answer 11 · 2018-05-07 19:25:51

68

Views

Find all the values of $\alpha$ and $\beta$ for which the following integral converges

Published on 07 May 2018 - 19:25

score 30 · Answer 12 · 2018-05-08 02:10:06

30

Views

Uniform convergence to principal value integral?

Published on 08 May 2018 - 2:10

score 27 · Answer 13 · 2026-03-25 22:09:58

27

Views

How to integrate the following integral? Is it integrable?

Published on 25 Mar 2026 - 22:09

score 583 · Answer 14 · 2018-05-08 17:30:45

583

Views

Is $\int_{0}^{\pi} \sec^2(x)\,dx \neq 0$?

Published on 08 May 2018 - 17:30

score 1.3k · Answer 15 · 2018-05-08 23:32:39

1.3k

Views

Uniform Convergence of Improper Integral

Published on 08 May 2018 - 23:32

List Question

Convergence of Riemann integral of composition of functions

If $\int_{0+}^{1-} |f(x)|^p dx$ converges for some $p > 1$, then$\int_{0+}^{1-} |f(x)| dx$ converges.

If $\lim_{x\rightarrow \infty} f(x) = 0, \int_a^\infty f'(x)dx$ is absolutely convergent, prove that $\int_a^\infty f(x)\sin x dx$ converges

Continuity of the function $F(y)=\int\limits_0^{+\infty}ye^{-(x-y)^4}dx$

Convergent integral $\int_0^{+\infty}\frac{\ln (1+x^2)}{1+x^2}dx=\pi \ln(2)$

How to approximate the following improper integral by using Simpson's rule

Function limit and sequence limit equivalent?

Integral evaluation problem on R

How to solve this improper integral

Solve the improper integral $\int_{-\infty}^{+\infty}{\frac{1}{|x^2-1|^\alpha}dx}$ at the variation of the value of $\alpha$

Find all the values of $\alpha$ and $\beta$ for which the following integral converges

Uniform convergence to principal value integral?

How to integrate the following integral? Is it integrable?

Is $\int_{0}^{\pi} \sec^2(x)\,dx \neq 0$?

Uniform Convergence of Improper Integral

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