Results 1 to 3 of 3

Math Help - Improper Integrals

  1. #1
    Newbie
    Joined
    Apr 2008
    Posts
    12

    Improper Integrals

    Calculate the value of the integral 1/x^2 going from 1 to b where b is a finite number greater than 1. Does the value of the integral approach a limit as b tends to infinity? (it does) If so, what is the value?

    Thanks =)
    Follow Math Help Forum on Facebook and Google+

  2. #2
    GAMMA Mathematics
    colby2152's Avatar
    Joined
    Nov 2007
    From
    Alexandria, VA
    Posts
    1,172
    Awards
    1
    Quote Originally Posted by Merdiemae View Post
    Calculate the value of the integral 1/x^2 going from 1 to b where b is a finite number greater than 1. Does the value of the integral approach a limit as b tends to infinity? (it does) If so, what is the value?

    Thanks =)
    \int_1^b x^{-2} dx

    -x^{-1}|_1^b

    1^{-1}-b^{-1}

    1-\frac{1}{b}

    Now, take the limit of this as b approaches infinity...

    lim_{b \rightarrow \infty} 1-\frac{1}{b} = 1
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Apr 2008
    Posts
    12
    Thank you so much!! I see what I did- stupid mistake- I had my answers backwards!! Ha ha =)
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Improper Integrals
    Posted in the Differential Geometry Forum
    Replies: 9
    Last Post: February 15th 2011, 12:09 AM
  2. improper integrals
    Posted in the Calculus Forum
    Replies: 2
    Last Post: March 7th 2009, 05:06 AM
  3. Improper Integrals
    Posted in the Calculus Forum
    Replies: 1
    Last Post: February 17th 2009, 08:29 PM
  4. Improper Integrals
    Posted in the Calculus Forum
    Replies: 1
    Last Post: July 5th 2008, 11:57 AM
  5. Improper Integrals
    Posted in the Calculus Forum
    Replies: 4
    Last Post: January 24th 2007, 05:05 PM

Search Tags


/mathhelpforum @mathhelpforum