Results 1 to 3 of 3

Thread: integral 11

  1. August 20th 2008, 03:50 PM #1
    Apprentice123
    Apprentice123 is offline
    Super Member
    Joined
    Jun 2008
    Posts
    829

    integral 11

    \int \frac{(2x-7)dx}{x^2+9}
    Follow Math Help Forum on Facebook and Google+
  2. August 20th 2008, 04:29 PM #2
    polymerase
    polymerase is offline
    Senior Member polymerase's Avatar
    Joined
    May 2007
    From
    Sydney
    Posts
    267
    \int\frac{2x}{x^2+9}\;dx-7\int\frac{dx}{x^2+9}=\int\frac{du}{u}-7\int\frac{dx}{x^2+9} (make the sub, u= x^2+9)

    Thus, \int\frac{2x-7}{x^2+9}\;dx=\ln|x^2+9|-\frac{7}{3}\arctan\left(\frac{x}{3}\right)+C
    Follow Math Help Forum on Facebook and Google+
  3. August 20th 2008, 07:14 PM #3
    Apprentice123
    Apprentice123 is offline
    Super Member
    Joined
    Jun 2008
    Posts
    829
    thank you
    Follow Math Help Forum on Facebook and Google+
« Calculate the area | integral 17 »

Similar Math Help Forum Discussions

  1. Use Cauchy's integral theorem for derivatives to evaluate the contour integral.
    Posted in the Calculus Forum
    Replies: 2
    Last Post: August 31st 2010, 07:38 AM
  2. Graph the region of integration and evaluate the double integral (integral from 0 to
    Posted in the Calculus Forum
    Replies: 1
    Last Post: June 2nd 2010, 02:25 AM
  3. Explaining result: comparing line integral and two-form integral
    Posted in the Calculus Forum
    Replies: 0
    Last Post: May 9th 2010, 01:52 PM
  4. write [integral of] dx/SQRT(sinx) in terms of an elliptic integral
    Posted in the Calculus Forum
    Replies: 0
    Last Post: September 10th 2008, 07:53 PM
  5. Evaluating a double integral to find its signle integral.
    Posted in the Calculus Forum
    Replies: 6
    Last Post: May 18th 2008, 06:37 AM

Search Tags


/mathhelpforum @mathhelpforum