Results 1 to 6 of 6

Math Help - Homework Help

  1. #1
    Newbie
    Joined
    Nov 2010
    Posts
    2

    Homework Help

    I have two problems that I need to know how to do step by step. Thanks in advance for the help.

    1) How do you evaluate the following integral as an infinite series?
    ∫ [(cos (x^2) - 1) / x] dx

    2) How do I find the line tangent to x=ln(t), y=(1+t^2) at t=1?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor matheagle's Avatar
    Joined
    Feb 2009
    Posts
    2,763
    Thanks
    5
    for the first, use the Taylor Series for cosine and insert x^2
    then subtract 1 and divide every term by x.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor harish21's Avatar
    Joined
    Feb 2010
    From
    Dirty South
    Posts
    1,036
    Thanks
    10
    This is not a homework service. Please read the forum rules. Rule No. 6
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Newbie
    Joined
    Nov 2010
    Posts
    2
    It's not graded on correctness. It's just a review assignment to help prepare for an exam which is why I wanted a step by step.
    Follow Math Help Forum on Facebook and Google+

  5. #5
    MHF Contributor

    Joined
    Apr 2005
    Posts
    15,307
    Thanks
    1284
    Then do what matheagle suggested. Of course the last step is to integrate term by term.

    For 2, \frac{dy}{dx}= \frac{\frac{dy}{dt}}{\frac{dx}{dt}}.
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by fredflintstone View Post

    2) How do I find the line tangent to x=ln(t), y=(1+t^2) at t=1?
    It passes through x=0,\ y=2, and its slope is:

    \dfrac{dy}{dx}=\dfrac{dy}{dt}\dfrac{dt}{dx}

    evaluated at x=0,\ y=2.

    CB
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. homework help
    Posted in the Discrete Math Forum
    Replies: 4
    Last Post: August 31st 2009, 04:36 AM
  2. need help with homework
    Posted in the Trigonometry Forum
    Replies: 5
    Last Post: July 20th 2009, 08:34 AM
  3. homework help
    Posted in the Algebra Forum
    Replies: 2
    Last Post: February 10th 2009, 07:12 PM
  4. Homework Help
    Posted in the Calculus Forum
    Replies: 1
    Last Post: November 2nd 2007, 01:09 PM
  5. Homework Help
    Posted in the Math Topics Forum
    Replies: 9
    Last Post: October 14th 2007, 03:00 PM

Search Tags


/mathhelpforum @mathhelpforum