August 27th, 2019, 03:30 AM  #1 
Newbie Joined: Aug 2019 From: River Posts: 3 Thanks: 0  Help with this integral
$I=\displaystyle\int_~\frac{x^{1/3}}{\sqrt{1+x}}~dx$

August 27th, 2019, 06:52 AM  #2 
Global Moderator Joined: Dec 2006 Posts: 20,972 Thanks: 2222 
That can't be done in closed form without resort to special functions.

August 27th, 2019, 12:19 PM  #3 
Newbie Joined: Aug 2019 From: River Posts: 3 Thanks: 0  You mean like trigonometric functions or something more complicated? Because I got that integral from a physics problem, and maybe I did something wrong in the calculations before, so it might not even be the right int I have to solve

August 27th, 2019, 12:25 PM  #4 
Math Team Joined: Jul 2011 From: Texas Posts: 3,016 Thanks: 1600  Post the physics problem ...

August 27th, 2019, 04:40 PM  #5 
Global Moderator Joined: Dec 2006 Posts: 20,972 Thanks: 2222  
August 30th, 2019, 07:29 AM  #6 
Newbie Joined: Aug 2019 From: River Posts: 3 Thanks: 0 
(my other postreply wasn't approved two days ago, so I use a quick reply here) The physics problem says that we need to start from this: https://i.ibb.co/bX5VwKJ/1.png and prove this https://i.ibb.co/9VG18pB/2.png There's also a hint that we need to use the new variable u=2Λa^3/ρο 

Tags 
integral 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Double integral, repeated integral and the FTC  Jhenrique  Calculus  5  June 30th, 2015 03:45 PM 
a new discovery in integral calculus??for integral pros only  gen_shao  Calculus  2  July 31st, 2013 09:54 PM 
integral of double integral in a region E  maximus101  Calculus  0  March 4th, 2011 01:31 AM 
Prove Lower Integral <= 0 <= Upper Integral  xsw001  Real Analysis  1  October 29th, 2010 07:27 PM 
integral of double integral in a region E  maximus101  Algebra  0  December 31st, 1969 04:00 PM 