Results 1 to 4 of 4

Math Help - Need help with finding Integral

  1. #1
    Newbie
    Joined
    Jan 2009
    Posts
    21

    Need help with finding Integral

    I need to graph the function:

    f(x) = integral(2t/(t^3+1)dt lower limit = 1 upper limit is x

    I don't how to find f(x).

    Can some help me please?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    is up to his old tricks again! Jhevon's Avatar
    Joined
    Feb 2007
    From
    New York, USA
    Posts
    11,663
    Thanks
    3
    Quote Originally Posted by s3n4te View Post
    I need to graph the function:

    f(x) = integral(2t/(t^3+1)dt lower limit = 1 upper limit is x

    I don't how to find f(x).

    Can some help me please?
    are you sure you're not after f '(x)? because f(x) is given, you don't have to find it

    this seems to be a second fundamental theorem of calculus problem to me.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Jan 2009
    Posts
    21
    My prof said to sket the graph of the function using sketching techniques such as inflection points max and min, and using MAPLE to find the roots
    Follow Math Help Forum on Facebook and Google+

  4. #4
    is up to his old tricks again! Jhevon's Avatar
    Joined
    Feb 2007
    From
    New York, USA
    Posts
    11,663
    Thanks
    3
    Quote Originally Posted by s3n4te View Post
    My prof said to sket the graph of the function using sketching techniques such as inflection points max and min, and using MAPLE to find the roots
    ok, as far as finding derivatives are concerned, you need to use the second fundamental theorem of calculus (do you know what this is?) to find the first, and just differentiate the resulting expression as you regularly would to find the second.

    to find other features, you can integrate this via the method of partial fractions. note that \int \frac {2t}{t^3 + 1}~dt = \int \frac {2t}{(t + 1)(t^2 - t + 1)}~dt

    there is also a program you can use to sketch functions defined this way (i wonder if i can find it again? )... i am not sure how to do it in Maple, but i suppose using the normal "plot" command would work.

    Found it: ah, here it is. you can use it to check your work
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Finding the integral
    Posted in the Calculus Forum
    Replies: 6
    Last Post: January 2nd 2012, 07:18 PM
  2. Finding Integral
    Posted in the Calculus Forum
    Replies: 3
    Last Post: March 22nd 2011, 12:15 PM
  3. Finding the Integral
    Posted in the Calculus Forum
    Replies: 3
    Last Post: August 11th 2010, 04:47 PM
  4. Finding F(x) (INTEGRAL)
    Posted in the Calculus Forum
    Replies: 5
    Last Post: February 22nd 2010, 08:56 PM
  5. finding integral of...
    Posted in the Calculus Forum
    Replies: 2
    Last Post: November 4th 2007, 07:14 PM

Search Tags


/mathhelpforum @mathhelpforum