Results 1 to 2 of 2

Math Help - integration problems

  1. #1
    Junior Member
    Joined
    Mar 2008
    From
    Perth
    Posts
    26

    integration problems

    Find the exact length of the curve y=ln sec(x) from x=0 to x= pi/4

    Find the area of the surface generated by revolving the curve 2*sqrt(x+3)
    from x=1 to x=10 around the x axis
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Lord of certain Rings
    Isomorphism's Avatar
    Joined
    Dec 2007
    From
    IISc, Bangalore
    Posts
    1,465
    Thanks
    6
    Quote Originally Posted by samdmansam View Post
    Find the exact length of the curve y=ln sec(x) from x=0 to x= pi/4

    Find the area of the surface generated by revolving the curve 2*sqrt(x+3)
    from x=1 to x=10 around the x axis
    \text{Length} = \int^{x=\frac{\pi}4}_{x=0} \sqrt{1+\left(\frac{dy}{dx}\right)^2} \, dx

    \frac{dy}{dx} = \frac1{\sec x}\times \sec x\tan x = \tan x

    \text{Length} = \int^{x=\frac{\pi}4}_{x=0}\sec x \, dx

    Can you continue now?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 3
    Last Post: November 3rd 2010, 12:54 AM
  2. Problems with integration word problems
    Posted in the Calculus Forum
    Replies: 5
    Last Post: April 25th 2010, 05:39 PM
  3. integration problems
    Posted in the Calculus Forum
    Replies: 1
    Last Post: April 20th 2009, 04:01 AM
  4. Integration problems
    Posted in the Calculus Forum
    Replies: 2
    Last Post: February 26th 2008, 12:02 AM
  5. Problems with some integration
    Posted in the Calculus Forum
    Replies: 21
    Last Post: July 25th 2006, 03:16 AM

Search Tags


/mathhelpforum @mathhelpforum