Results 1 to 2 of 2

Math Help - Integral3

  1. #1
    Super Member
    Joined
    Jun 2008
    Posts
    829

    Integral3

    \int \frac{\sqrt{x}dx}{(1+x)^2}
    Follow Math Help Forum on Facebook and Google+

  2. #2
    is up to his old tricks again! Jhevon's Avatar
    Joined
    Feb 2007
    From
    New York, USA
    Posts
    11,663
    Thanks
    3
    Quote Originally Posted by Apprentice123 View Post
    \int \frac{\sqrt{x}dx}{(1+x)^2}
    let u = \sqrt{x}. this substitution yields,

    2 \int \frac {u^2}{(1 + u^2)^2}~du = 2 \int \frac {u^2 + 1 - 1}{(1 + u^2)^2}~du = 2 \Bigg[ \int \frac 1{1 + u^2}~du - \int \frac 1{(1 + u^2)^2}\Bigg]

    the first integral in brackets is easy, it is just the arctangent. for the second, do a trig substitution to finish it off. u = \tan \theta
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Integral3
    Posted in the Calculus Forum
    Replies: 2
    Last Post: August 6th 2008, 04:07 PM
  2. Integral3
    Posted in the Calculus Forum
    Replies: 4
    Last Post: June 26th 2008, 07:49 AM

Search Tags


/mathhelpforum @mathhelpforum