1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Find primitives of function (1+4x)/sqrt(1 + x + 2x^2)

  1. Nov 16, 2006 #1
    This is a practice exam question that I have been given!
    Find the primitives of the functions

    My question is 1. is a primitive the antiderivative? I dont remember my lecturer using primitive during our course!
  2. jcsd
  3. Nov 16, 2006 #2
    It is basically asking you to find:

    [tex] \int \frac{1+4x}{\sqrt{1+x+2x^{2}}} \; dx [/tex]

    A primitive is an antiderivative.

    So set [tex] u = 1+x+2x^{2} [/tex]

    Then [tex] du = 4x+1 \; dx [/tex] and you end up with [tex] \int u^{-\frac{1}{2}} \; du [/tex]. All the primitives mean that you add the integration constant [tex] C [/tex].
    Last edited: Nov 16, 2006
  4. Nov 16, 2006 #3
    ahhh thanks!
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook