Results 1 to 3 of 3

Math Help - integral that converges……..

  1. #1
    Member
    Joined
    Jul 2006
    Posts
    95

    integral that converges……..

    Hello,
    Plz try to solve this question.
    Attached Files Attached Files
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Question#01:-

    (a) Evaluate the integral that converges \int_0^{\pi/2}\tan(x) dx.

    I don't understand the question, this integral diverges does it not?

    RonL
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Question#01:-

    (b) Find the value of "a", If \int_0^{+\infty}\frac{1}{x^2+a^2} dx=1.

    Well this is a standard integral, and:

    \int_0^{\infty}\frac{1}{x^2+a^2} dx=\left[\frac{1}{a}\arctan(u/a)\right]_0^{+\infty}=\frac{\pi}{2}\frac{1}{a}.

    So the required value is a=\pi/2

    RonL
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 17
    Last Post: November 11th 2011, 04:15 PM
  2. Replies: 1
    Last Post: May 18th 2010, 10:31 PM
  3. Proving this integral converges
    Posted in the Calculus Forum
    Replies: 1
    Last Post: February 9th 2010, 08:52 AM
  4. double integral - converges or diverges
    Posted in the Calculus Forum
    Replies: 2
    Last Post: January 8th 2009, 10:09 AM
  5. Replies: 1
    Last Post: March 31st 2008, 10:28 PM

Search Tags


/mathhelpforum @mathhelpforum