1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Quick integration question

  1. Sep 1, 2004 #1
    How does one integrate the following:
    By using a suitable substitution, evaluate:
    [tex]\int \frac{\sqrt{x+1}}{x+3} dx[/tex]

    I tried [tex]x=tan^2 \theta, x+1=y [/tex], but the whole thing got messier. Anyone knows the correct substitution to make?
     
  2. jcsd
  3. Sep 1, 2004 #2

    Tide

    User Avatar
    Science Advisor
    Homework Helper

    Here's a start: Do it in stages using the first transformation to get rid of the +1 under the radical so the integrand becomes [itex]\frac {\sqrt{x}}{x+2}[/itex] then let [itex]y = \sqrt {x}[/itex]. It should be apparent what to do next.
     
  4. Sep 2, 2004 #3
    Thanks for your help. I managed to solve it, required 2 substitutions as you said!
     
  5. Sep 2, 2004 #4

    Tide

    User Avatar
    Science Advisor
    Homework Helper

    Way to go!
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Quick integration question
  1. Quick question (Replies: 6)

Loading...