Results 1 to 2 of 2

Math Help - more integration of inverse trig

  1. #1
    Junior Member
    Joined
    Nov 2009
    Posts
    45

    more integration of inverse trig

    differentiate (xcos-1x)-sqrt(1-x^2) and use the result to evaluate the integration of cos-1dx between x=1 and x=0

    similarily, prove that d/dx (xsin-1x)=sin-1x+x/(sqrt(1-x^2)). Hence find primitive of sin-1x and show that integration of sin-1x between x=1/2 and x=0 is pi/12+sqrt3/2-1

    THankyou !
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Apr 2005
    Posts
    15,779
    Thanks
    1519
    Quote Originally Posted by christina View Post
    differentiate (xcos-1x)-sqrt(1-x^2) and use the result to evaluate the integration of cos-1dx between x=1 and x=0

    similarily, prove that d/dx (xsin-1x)=sin-1x+x/(sqrt(1-x^2)). Hence find primitive of sin-1x and show that integration of sin-1x between x=1/2 and x=0 is pi/12+sqrt3/2-1

    THankyou !
    Have you done either of those derivatives? Once you have, the integrals should be obvious.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Inverse trig integration
    Posted in the Calculus Forum
    Replies: 2
    Last Post: May 5th 2010, 06:45 PM
  2. integration of inverse trig.
    Posted in the Trigonometry Forum
    Replies: 2
    Last Post: November 17th 2009, 05:23 AM
  3. inverse trig integration
    Posted in the Calculus Forum
    Replies: 5
    Last Post: July 10th 2009, 06:04 PM
  4. Inverse Trig Integration
    Posted in the Calculus Forum
    Replies: 3
    Last Post: September 10th 2008, 07:44 PM
  5. integration on inverse trig
    Posted in the Calculus Forum
    Replies: 7
    Last Post: January 31st 2008, 07:24 PM

Search Tags


/mathhelpforum @mathhelpforum