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: Sum of an infinite series

  1. Apr 14, 2004 #1
    hi, i need a little help calculating the infinite series sorry if it seems confusing, but i dont know how to put in the sigma or intergral symbols i did my best to make it clear:

    i am sopposed to express (integral from 0 to 1) of 2dx/[(3x^4)+16] as a sum of an infinite series heres what i did:

    the (integral from 0 to 1) of 2dx/[(3x^4) + 16]
    i found that the series of 2dx/[(3x^4)+16] = 1/8* (sigma from n=0 to infinity) of (-1)^n *(3x^4/16)^n

    i then pulled out the constants and got

    1/8 * (sigma from n=0 to infinity) (-1)^n * (3/16)^n (integral from 0 to 1) (x^4n)

    after evaluating the integral i got for my infinit series

    1/8 (sigma from n=0 to infinity) (-1)^n (3/16)^n [1^(4n-1)/4n-1]

    i just wanted to know if this seemed like it was the right way.
  2. jcsd
  3. Apr 14, 2004 #2


    User Avatar
    Homework Helper

    Yes. I didn't look at the details, but you seem to have the correct approach.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook