Integral from e to infinity

  • Thread starter tnutty
  • Start date
  • #1
327
1

Homework Statement



integral [from e to infinity of ] 67 / (x(ln(x))^3)

read as the integral from e to infinity of

67 divided by x times cubed lnx.


Homework Equations





The Attempt at a Solution





i know it converges,

but i got the value

67/2
 

Answers and Replies

  • #2
156
0


Homework Statement



integral [from e to infinity of ] 67 / (x(ln(x))^3)

read as the integral from e to infinity of

67 divided by x times cubed lnx.

The Attempt at a Solution



i know it converges,

but i got the value

67/2
And I would agree with you...

Using the substitution [tex]u=\ln{x}[/tex], the integral

[tex]\int_e^\infty \frac{1}{x(\ln{x})^3} \, dx[/tex]

becomes

[tex]-\frac{1}{2} \int_1^\infty \frac{1}{u^2} \, du.[/tex]
 

Related Threads on Integral from e to infinity

Replies
1
Views
3K
Replies
2
Views
7K
  • Last Post
Replies
1
Views
425
Replies
4
Views
13K
Replies
4
Views
4K
Replies
2
Views
1K
Replies
2
Views
1K
Replies
5
Views
4K
Replies
17
Views
23K
Top