Question

Determine if the improper integral converges or diverges $\int_{2}^{\infty}\frac{\ln x}{x^{1.5}}dx$

score 88 · Answer 1 · 2014-06-03 14:10:40

88

Views

Determine if the improper integral converges or diverges $\int_{2}^{\infty}\frac{\ln x}{x^{1.5}}dx$

Published on 03 Jun 2014 - 14:10

score 55 · Answer 2 · 2014-06-03 18:38:31

55

Views

Convergence of $\int_1^7 \frac{1}{\sqrt[3]{x^2-1}}\ dx$

Published on 03 Jun 2014 - 18:38

score 202 · Answer 3 · 2014-06-04 02:02:43

202

Views

Improper integral convergence (values of p) $\int_{_{1}}^{\infty} \frac{\text{d}x}{\ln^p(x)}$

Published on 04 Jun 2014 - 2:02

score 116 · Answer 4 · 2014-06-04 09:04:39

116

Views

Convergence or Divergence using Limits

Published on 04 Jun 2014 - 9:04

score 160 · Answer 5 · 2014-06-04 22:34:11

160

Views

Evaluation of tricky integral

Published on 04 Jun 2014 - 22:34

score 993 · Answer 6 · 2014-06-05 13:19:43

993

Views

What is the value of the integral$\int_{0}^{+\infty} \frac{1-\cos t}{t} \, e^{-t} \, \mathrm{d}t$?

Published on 05 Jun 2014 - 13:19

score 1.1k · Answer 7 · 2014-06-06 03:31:35

1.1k

Views

Integral $\int_0^\infty \frac{\sin x}{\cosh ax+\cos x}\frac{x}{x^2-\pi^2}dx=\tan^{-1}\left(\frac{1}{a}\right)-\frac{1}{a}$

Published on 06 Jun 2014 - 3:31

score 1.7k · Answer 8 · 2014-06-06 05:59:23

1.7k

Views

Integration of $\int_0^\infty \sqrt x e^{-x^2} dx$

Published on 06 Jun 2014 - 5:59

score 100 · Answer 9 · 2014-06-06 15:57:08

100

Views

Improper integral comparison test

Published on 06 Jun 2014 - 15:57

score 1.1k · Answer 10 · 2014-06-06 17:30:23

1.1k

Views

Integral $\int_0^{\infty} \frac{x^{a-1}}{1+x} dx $ converges?

Published on 06 Jun 2014 - 17:30

score 139 · Answer 11 · 2014-06-07 03:40:51

139

Views

Calculate the integral $\int_{0}^{+\infty }[e^{-(\frac{a}{x})^{2}} -e^{-(\frac{b}{x})^{2}}]dx$

Published on 07 Jun 2014 - 3:40

score 693 · Answer 12 · 2014-06-07 14:05:22

693

Views

Compute $\int_0^1 \frac{\arcsin(x)}{x}dx$

Published on 07 Jun 2014 - 14:05

score 70 · Answer 13 · 2014-06-07 20:17:13

70

Views

How does one calculate $\int_0^1 \frac {\arcsin(x)}{x}dx$?

Published on 07 Jun 2014 - 20:17

score 151 · Answer 14 · 2014-06-08 00:45:29

151

Views

Quesrion about a complex integral: I am struggling with $\int _0^1 {\ln x\over{1-x^2}}dx=-{\pi^{2}\over 8}$

Published on 08 Jun 2014 - 0:45

score 165 · Answer 15 · 2014-06-08 02:10:13

165

Views

a question about summation of series, how to prove $\int_0^\infty e^{-x}S(x)$=$\sum_{i=0}^\infty a_nn!$

Published on 08 Jun 2014 - 2:10

List Question

Determine if the improper integral converges or diverges $\int_{2}^{\infty}\frac{\ln x}{x^{1.5}}dx$

Convergence of $\int_1^7 \frac{1}{\sqrt[3]{x^2-1}}\ dx$

Improper integral convergence (values of p) $\int_{_{1}}^{\infty} \frac{\text{d}x}{\ln^p(x)}$

Convergence or Divergence using Limits

Evaluation of tricky integral

What is the value of the integral$\int_{0}^{+\infty} \frac{1-\cos t}{t} \, e^{-t} \, \mathrm{d}t$?

Integral $\int_0^\infty \frac{\sin x}{\cosh ax+\cos x}\frac{x}{x^2-\pi^2}dx=\tan^{-1}\left(\frac{1}{a}\right)-\frac{1}{a}$

Integration of $\int_0^\infty \sqrt x e^{-x^2} dx$

Improper integral comparison test

Integral $\int_0^{\infty} \frac{x^{a-1}}{1+x} dx $ converges?

Calculate the integral $\int_{0}^{+\infty }[e^{-(\frac{a}{x})^{2}} -e^{-(\frac{b}{x})^{2}}]dx$

Compute $\int_0^1 \frac{\arcsin(x)}{x}dx$

How does one calculate $\int_0^1 \frac {\arcsin(x)}{x}dx$?

Quesrion about a complex integral: I am struggling with $\int _0^1 {\ln x\over{1-x^2}}dx=-{\pi^{2}\over 8}$

a question about summation of series, how to prove $\int_0^\infty e^{-x}S(x)$=$\sum_{i=0}^\infty a_nn!$

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