Results 1 to 2 of 2

Math Help - estimation

  1. #1
    Newbie
    Joined
    Apr 2009
    Posts
    16

    estimation

    I got stucked with this problem !
    any rule or thereom to slove it

    Find bounds m and M such that m \le x\sin(x) \le M
    use the to estimate  \int_{0}^{\pi}x\sin(x)dx
    Last edited by Jameson; May 5th 2009 at 12:18 PM. Reason: tried to fix formatting
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member Spec's Avatar
    Joined
    Aug 2007
    Posts
    318
    If f(x_1) \leq f(x) \leq f(x_2), then f(x_1)(b-a) \leq \int_a^b f(x) dx \leq f(x_2)(b-a)

    So if you know the boundaries of m \leq x\sin x \leq M on x \in [0,\pi], then you can also estimate the integral with m(\pi-0) \leq \int_0^\pi x \sin x dx \leq M(\pi-0)
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Estimation
    Posted in the Advanced Statistics Forum
    Replies: 2
    Last Post: September 21st 2010, 06:55 AM
  2. Estimation
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: April 12th 2010, 02:42 AM
  3. MLE estimation
    Posted in the Advanced Statistics Forum
    Replies: 4
    Last Post: March 18th 2010, 06:38 PM
  4. estimation
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: May 29th 2009, 12:50 AM
  5. Estimation
    Posted in the Statistics Forum
    Replies: 0
    Last Post: April 22nd 2009, 04:19 AM

Search Tags


/mathhelpforum @mathhelpforum