Question

$\int_{1}^{\infty}\frac{x^2-1}{(x^2+1)\sqrt{x^4+1}}dx=$?

score 138 · Answer 1 · 2018-11-03 01:18:23

138

Views

$\int_{1}^{\infty}\frac{x^2-1}{(x^2+1)\sqrt{x^4+1}}dx=$?

Published on 03 Nov 2018 - 1:18

score 58 · Answer 2 · 2018-11-03 15:12:48

58

Views

Determine for which $t\in \mathbb{R}$ the integral $\int_0^\infty \sin(x^t)\ dx$ converges!

Published on 03 Nov 2018 - 15:12

score 84 · Answer 3 · 2018-11-04 03:57:57

84

Views

Test for convergence for $\int^{\infty}_0 \frac{lnx}{e^x}dx$.

Published on 04 Nov 2018 - 3:57

score 48 · Answer 4 · 2018-11-04 12:50:23

48

Views

Prove that $\int^{\infty}_0 \frac{e^x}{\sqrt{\sinh(ax)}}dx$ is convergent if $a>2$.

Published on 04 Nov 2018 - 12:50

score 80 · Answer 5 · 2018-11-04 18:24:49

80

Views

Prove convergence of improper integral of hard to factor denominator

Published on 04 Nov 2018 - 18:24

score 130 · Answer 6 · 2018-11-05 05:38:45

130

Views

Find the analytic form of expression for the following integral

Published on 05 Nov 2018 - 5:38

score 49 · Answer 7 · 2018-11-06 13:41:20

49

Views

Prove that the limit as $y$ goes to $0$ of $V(x,y)=F(x)$ if $V(x,y)=\frac{1}{\pi}\int^{\infty}_{-\infty}\frac{yF(\lambda)}{y^2+(\lambda-x)^2}d\lambda$

Published on 06 Nov 2018 - 13:41

score 345 · Answer 8 · 2018-11-06 22:14:13

345

Views

Differentiate an Integral w.r.t. it's Limit in This Special Case.

Published on 06 Nov 2018 - 22:14

score 92 · Answer 9 · 2018-11-09 18:26:26

92

Views

Where is my mistake in this integral?

Published on 09 Nov 2018 - 18:26

score 125 · Answer 10 · 2026-03-25 21:47:57

125

Views

How can a doubly improper integral become a singly improper integral after substitution?

Published on 25 Mar 2026 - 21:47

score 43 · Answer 11 · 2026-03-25 04:41:40

43

Views

Contradiction: Portion of our area is greater than our full area

Published on 25 Mar 2026 - 4:41

score 136 · Answer 12 · 2018-11-12 05:07:52

136

Views

Does the integral $\int_{0}^{\infty} \frac{x^3\,\cos{(x^2-x)}}{1+x^2}$ diverge

Published on 12 Nov 2018 - 5:07

score 92 · Answer 13 · 2018-11-12 22:24:19

92

Views

Testing whether the following integral converges

Published on 12 Nov 2018 - 22:24

score 332 · Answer 14 · 2018-11-13 16:50:45

332

Views

Proof in The Integral Test

Published on 13 Nov 2018 - 16:50

score 81 · Answer 15 · 2018-11-13 19:44:21

81

Views

The convergence of an improper integral

Published on 13 Nov 2018 - 19:44

List Question

$\int_{1}^{\infty}\frac{x^2-1}{(x^2+1)\sqrt{x^4+1}}dx=$?

Determine for which $t\in \mathbb{R}$ the integral $\int_0^\infty \sin(x^t)\ dx$ converges!

Test for convergence for $\int^{\infty}_0 \frac{lnx}{e^x}dx$.

Prove that $\int^{\infty}_0 \frac{e^x}{\sqrt{\sinh(ax)}}dx$ is convergent if $a>2$.

Prove convergence of improper integral of hard to factor denominator

Find the analytic form of expression for the following integral

Prove that the limit as $y$ goes to $0$ of $V(x,y)=F(x)$ if $V(x,y)=\frac{1}{\pi}\int^{\infty}_{-\infty}\frac{yF(\lambda)}{y^2+(\lambda-x)^2}d\lambda$

Differentiate an Integral w.r.t. it's Limit in This Special Case.

Where is my mistake in this integral?

How can a doubly improper integral become a singly improper integral after substitution?

Contradiction: Portion of our area is greater than our full area

Does the integral $\int_{0}^{\infty} \frac{x^3\,\cos{(x^2-x)}}{1+x^2}$ diverge

Testing whether the following integral converges

Proof in The Integral Test

The convergence of an improper integral

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