Results 1 to 3 of 3

Math Help - Integrate x^2/Sqrt[1- x^2]

  1. #1
    Newbie
    Joined
    Mar 2011
    Posts
    3

    Integrate x^2/Sqrt[1- x^2]

    Hey, im a newbie to the site and was wondering if anyone could help with the solution to the problem below... thanks in advance!

    (using the substitution x = sin t)
    Last edited by mr fantastic; March 14th 2011 at 06:53 PM. Reason: Re-titled.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    -1
    e^(i*pi)'s Avatar
    Joined
    Feb 2009
    From
    West Midlands, England
    Posts
    3,053
    Thanks
    1
    \dfrac{dx}{dt} = \cos(t) \implies dx = \cos(t)\, dt


    \displaystyle \int ^{\pi /2}_{0} \frac{\sin^2t}{\sqrt{1-\sin^2 t}} \cdot \cos(t)\, dt

    Simplify and use an identity to make the numerator easier to deal with
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Mar 2011
    Posts
    3
    Thanks, e^(i*pi) for the reply! im having a lot of trouble at the minunte catching onto the calculus part of the course. Help appreciated!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Integrate [x^3/sqrt(1-x^2/k^2)]dx
    Posted in the Calculus Forum
    Replies: 5
    Last Post: September 9th 2010, 06:44 PM
  2. Integrate sqrt(1+(1\sqrt(x)))^2
    Posted in the Calculus Forum
    Replies: 9
    Last Post: July 15th 2010, 10:20 AM
  3. integrate 1/(sqrt(x^2-4))
    Posted in the Calculus Forum
    Replies: 1
    Last Post: June 30th 2010, 10:55 AM
  4. integrate this: (sqrt(6x^2+1+x^6))/2x
    Posted in the Calculus Forum
    Replies: 1
    Last Post: February 5th 2010, 04:43 AM
  5. Integrate sqrt ( 4 -x^2)dx
    Posted in the Calculus Forum
    Replies: 14
    Last Post: April 28th 2005, 06:35 AM

Search Tags


/mathhelpforum @mathhelpforum