Results 1 to 4 of 4

Math Help - Second Fundamental Theorem of Calculus

  1. #1
    jsl
    jsl is offline
    Newbie
    Joined
    Nov 2009
    Posts
    17

    Second Fundamental Theorem of Calculus

    Hello! I am stuck on this problem. I have tried lots of things, but just can't seem to get the right answer. Thanks for your help!

    Follow Math Help Forum on Facebook and Google+

  2. #2
    Math Engineering Student
    Krizalid's Avatar
    Joined
    Mar 2007
    From
    Santiago, Chile
    Posts
    3,654
    Thanks
    12
    \ln(3x)=\ln3+\ln x, can you proceed?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    jsl
    jsl is offline
    Newbie
    Joined
    Nov 2009
    Posts
    17
    I tried substituting that in for ln(3x), but I'm still getting the wrong answer. Could you help me out with some more steps? Thanks!
    Follow Math Help Forum on Facebook and Google+

  4. #4
    No one in Particular VonNemo19's Avatar
    Joined
    Apr 2009
    From
    Detroit, MI
    Posts
    1,823
    Quote Originally Posted by jsl View Post
    I tried substituting that in for ln(3x), but I'm still getting the wrong answer. Could you help me out with some more steps? Thanks!
    Let u=\ln3x, then du=\frac{3}{3x}dx=\frac{1}{x}dx

    Now Note that \int\frac{\ln3x}{x}dx=\int(\ln3x)\left(\frac{1}{x}  \right)dx

    So, we make the substution

    \int(u)du
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. using fundamental theorem of calculus 1
    Posted in the Calculus Forum
    Replies: 1
    Last Post: January 15th 2009, 01:14 PM
  2. The Fundamental Theorem of Calculus
    Posted in the Calculus Forum
    Replies: 3
    Last Post: November 22nd 2008, 05:55 PM
  3. Fundamental Theorem Of Calculus
    Posted in the Calculus Forum
    Replies: 8
    Last Post: June 19th 2008, 12:22 AM
  4. Second Fundamental Theorem of Calculus!!
    Posted in the Calculus Forum
    Replies: 5
    Last Post: April 29th 2008, 09:34 AM
  5. Replies: 2
    Last Post: June 14th 2007, 06:35 AM

Search Tags


/mathhelpforum @mathhelpforum