My Math Forum  

Go Back   My Math Forum > College Math Forum > Calculus

Calculus Calculus Math Forum


Reply
 
LinkBack Thread Tools Display Modes
August 27th, 2019, 03:30 AM   #1
Newbie
 
Joined: Aug 2019
From: River

Posts: 3
Thanks: 0

Help with this integral

$I=\displaystyle\int_~\frac{x^{1/3}}{\sqrt{1+x}}~dx$
csmlg1919 is offline  
 
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.
skipjack is offline  
August 27th, 2019, 12:19 PM   #3
Newbie
 
Joined: Aug 2019
From: River

Posts: 3
Thanks: 0

Quote:
Originally Posted by skipjack View Post
That can't be done in closed form without resort to special functions.
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
csmlg1919 is offline  
August 27th, 2019, 12:25 PM   #4
Math Team
 
skeeter's Avatar
 
Joined: Jul 2011
From: Texas

Posts: 3,016
Thanks: 1600

Quote:
Originally Posted by csmlg1919 View Post
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
Post the physics problem ...
skeeter is offline  
August 27th, 2019, 04:40 PM   #5
Global Moderator
 
Joined: Dec 2006

Posts: 20,972
Thanks: 2222

Quote:
Originally Posted by csmlg1919 View Post
You mean like trigonometric functions or something more complicated?
That would depend on what you mean by "like" and "complicated".
skipjack is offline  
August 30th, 2019, 07:29 AM   #6
Newbie
 
Joined: Aug 2019
From: River

Posts: 3
Thanks: 0

(my other post-reply 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
csmlg1919 is offline  
Reply

  My Math Forum > College Math Forum > Calculus

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





Copyright © 2019 My Math Forum. All rights reserved.