Results 1 to 6 of 6

Math Help - Integrating by eliminating square root

  1. #1
    Member
    Joined
    Sep 2009
    Posts
    124

    Integrating by eliminating square root

    \int_{\frac{{ - \pi }}<br />
{4}}^{\frac{\pi }<br />
{4}} {\sqrt {1 + {{\tan }^2}x} dx}<br />

    I'm not sure where to begin
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Banned
    Joined
    May 2009
    Posts
    471
    Quote Originally Posted by genlovesmusic09 View Post
    \int_{\frac{{ - \pi }}<br />
{4}}^{\frac{\pi }<br />
{4}} {\sqrt {1 + {{\tan }^2}x} dx}<br />

    I'm not sure where to begin
    sin^2x+cos^2x=1

    Let's divide by cos^2x

    tan^2x+1=sec^2x

    Can you take it from here?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Master Of Puppets
    pickslides's Avatar
    Joined
    Sep 2008
    From
    Melbourne
    Posts
    5,236
    Thanks
    28
     1 + {{\tan }^2}x = \sec^2x
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Member
    Joined
    Sep 2009
    Posts
    124
    \int {\sqrt {{{\sec }^2}x} dx = \int {\sqrt {\frac{{dx}}<br />
{{{{\cos }^2}x}}} } } <br />

    i don't see the next step
    Follow Math Help Forum on Facebook and Google+

  5. #5
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,621
    Thanks
    426
    Quote Originally Posted by genlovesmusic09 View Post
    \int {\sqrt {{{\sec }^2}x} dx = \int {\sqrt {\frac{{dx}}<br />
{{{{\cos }^2}x}}} } } <br />

    i don't see the next step
    \sqrt{(something)^2} = |something|<br />
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Member
    Joined
    Sep 2009
    Posts
    124
    wow... i am overthinking
    thanks
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Square root inside square root equation
    Posted in the Algebra Forum
    Replies: 3
    Last Post: October 10th 2011, 04:17 PM
  2. Integrating the square root of a polynomial
    Posted in the Calculus Forum
    Replies: 17
    Last Post: October 7th 2009, 07:53 PM
  3. Replies: 12
    Last Post: November 22nd 2008, 12:41 PM
  4. Simplifying Square Root w/in square root
    Posted in the Algebra Forum
    Replies: 5
    Last Post: September 7th 2006, 08:01 AM
  5. Replies: 2
    Last Post: April 29th 2006, 01:13 AM

Search Tags


/mathhelpforum @mathhelpforum