1. Limited time only! Sign up for a free 30min personal 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!

Integration of y * sqrt function

  1. Apr 17, 2010 #1
    1. The problem statement, all variables and given/known data

    given: 3/8 * ∫ (y^3) *√((y^4)+9) dy the integral is from 0 - 2

    2. Relevant equations

    3. The attempt at a solution

    I have attempted the problem so far, it was a double integration and it is right up to here. I just cant figure out how to integrate this part.
  2. jcsd
  3. Apr 17, 2010 #2


    Staff: Mentor

    Looks like an ordinary substitution would work - u = y^4 + 9 ==> du = 4u^3*du
  4. Apr 17, 2010 #3
    Thankyou! worked a treat.
  5. Apr 17, 2010 #4


    Staff: Mentor

    So if you're working with double integrals and having trouble with ordinary substitutions, I would advise you to go back and review the integration techniques such as substitution, trig substitution, integration by parts, and partial fractions.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Threads - Integration sqrt function Date
Integral sqrt((5-x)/x) Dec 31, 2017
Integrating the sqrt of a function Mar 26, 2013
Integration function*sqrt function May 9, 2010
Integrating the function sqrt(1-sin2x) Jan 30, 2008
Integration of an inverse sqrt composite function May 16, 2007