Results 1 to 3 of 3

Math Help - Logarithm integral question....

  1. #1
    Junior Member
    Joined
    Jan 2009
    Posts
    48

    Question Logarithm integral question....

    Define the natural logarithm function in terms of the area under the curve y=1/x.
    I need some help getting this one started. I also need to explain how to use this definition to find the derivative of y= ln x, and explain how to use the derivative formula from above to prove that ln(a) + ln(b)= ln(ab)... I know it's a lot, but I could really use a push in the right direction. Thank you for the push...
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member mollymcf2009's Avatar
    Joined
    Jan 2009
    From
    Charleston, SC
    Posts
    490
    Awards
    1
    Quote Originally Posted by bemidjibasser View Post
    Define the natural logarithm function in terms of the area under the curve y=1/x.
    I need some help getting this one started. I also need to explain how to use this definition to find the derivative of y= ln x, and explain how to use the derivative formula from above to prove that ln(a) + ln(b)= ln(ab)... I know it's a lot, but I could really use a push in the right direction. Thank you for the push...
    The area under a curve f(x) is defined as the integral f(x) dx

    If f(x) = \frac{1}{x}

    Then the area under the curve is:

    \int \frac{1}{x} dx

    = ln |x|

    The antiderivative of \frac{1}{x} is ln|x|

    Does that help you get started?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Jan 2009
    Posts
    48

    logs...

    That is a help. Thanks. I will give it a whirl and see what happens... I might need to ask for more help, but I will be able to get a start now.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] Big O, Little O and Logarithm Integral
    Posted in the Calculus Forum
    Replies: 5
    Last Post: September 25th 2010, 01:24 PM
  2. An ambiguous integral involving logarithm
    Posted in the Calculus Forum
    Replies: 3
    Last Post: July 26th 2010, 10:07 AM
  3. Integral with logarithm
    Posted in the Calculus Forum
    Replies: 3
    Last Post: March 6th 2010, 11:11 AM
  4. Logarithm Integral
    Posted in the Differential Geometry Forum
    Replies: 4
    Last Post: November 15th 2009, 08:03 AM
  5. Logarithm integral
    Posted in the Calculus Forum
    Replies: 6
    Last Post: January 18th 2008, 08:35 AM

Search Tags


/mathhelpforum @mathhelpforum