Results 1 to 3 of 3
Like Tree1Thanks
  • 1 Post By TheIntegrator

Math Help - Indefinite Integral Problem

  1. #1
    Newbie
    Joined
    May 2012
    From
    United States
    Posts
    16

    Indefinite Integral Problem

    *SOLVED*
    Calculus Single Variable 5th Edition
    pg 310 problem #51

    I'm having trouble with this one problem:

    Find the indefinite integral:

    Indefinite Integral Problem-math_image22.gif

    The book's answer is: (edit-this was the correct answer)

    Indefinite Integral Problem-math_image3.gif

    Mathway gives an answer of:

    Indefinite Integral Problem-math_image4.gif

    I don't know how to even start this problem besides taking the integral of t x square root of t and adding that to the integral of the second part. Just simple indefinite integral rule. But when they are multiplied I'm not sure what to do. Substitution hasn't been covered yet so I'm assuming you don't use substitution. It just bothers me that I can't do this one problem and I got 25/26 assigned correct but this 26th one I can't get.
    *SOLVED*
    Last edited by njdurkin; May 1st 2012 at 06:24 AM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Newbie
    Joined
    Apr 2012
    From
    Ottawa
    Posts
    15
    Thanks
    5

    Re: Indefinite Integral Problem

    It might help to separate the integral into a couple pieces :

    \int t \sqrt(t) dt = \int t*t^{1/2} dt = \int t^{3/2} dt = \frac{t^{3/2+1}}{(3/2+1)} = \frac{2}{5} t^{5/2}

    \int \frac{1}{(\sqrt t)} dt = \int t^{-1/2} dt = \frac{t^{-1/2+1}}{(-1/2+1)} = 2 t^{1/2} = -2 \sqrt(t)

     \int (t \sqrt(t) + \frac{1}{(\sqrt t)} dt = \frac{2}{5} t^{5/2} - 2 \sqrt(t) + C

    do you see now? It helps when you see roots to express them as an exponent and then for this problem use the general power rule
    Last edited by TheIntegrator; May 1st 2012 at 06:42 AM.
    Thanks from njdurkin
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    May 2012
    From
    United States
    Posts
    16

    Re: Indefinite Integral Problem

    Ah so simple! I can't believe I couldn't figure that out! It was so easy!

    Thanks! (:
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. need help with indefinite integral problem
    Posted in the Calculus Forum
    Replies: 2
    Last Post: October 23rd 2011, 10:07 PM
  2. indefinite integral problem
    Posted in the Calculus Forum
    Replies: 2
    Last Post: September 19th 2011, 09:37 PM
  3. indefinite integral problem
    Posted in the Calculus Forum
    Replies: 5
    Last Post: June 28th 2011, 02:53 AM
  4. Indefinite Integral Problem
    Posted in the Calculus Forum
    Replies: 3
    Last Post: January 19th 2010, 06:11 AM
  5. Indefinite Integral Problem Please
    Posted in the Calculus Forum
    Replies: 1
    Last Post: December 4th 2007, 07:11 PM

Search Tags


/mathhelpforum @mathhelpforum