Results 1 to 2 of 2

Math Help - Function 2

  1. #1
    Super Member
    Joined
    Jun 2008
    Posts
    829

    Function 2

    Knowing that f'(x)=\frac{x+2}{x^2+4x+11} and f(1)=0 then the value of f(0) is ?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    earboth's Avatar
    Joined
    Jan 2006
    From
    Germany
    Posts
    5,830
    Thanks
    123
    Quote Originally Posted by Apprentice123 View Post
    Knowing that f'(x)=\frac{x+2}{x^2+4x+11} and f(1)=0 then the value of f(0) is ?
    1. Calculate F(x):

    F(x)=\dfrac12 \cdot \int \left(\dfrac{2x+4}{x^2+4x+11}\right) dx=\dfrac12 \ln(x^2+4x+11)+C

    2. Calculate F(1):

    F(1)=\dfrac12 \ln(1+4+11)+C=2\ln(2)+C = 0~\implies~ C=-2\ln(2)

    3. Calculate F(0):

    I'll leave this part for you.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 20
    Last Post: November 27th 2012, 06:28 AM
  2. Replies: 0
    Last Post: October 19th 2011, 05:49 AM
  3. Replies: 4
    Last Post: October 27th 2010, 06:41 AM
  4. Replies: 3
    Last Post: September 14th 2010, 03:46 PM
  5. Replies: 2
    Last Post: September 2nd 2010, 11:28 AM

Search Tags


/mathhelpforum @mathhelpforum