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 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
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 Originally Posted by skipjack 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

August 27th, 2019, 12:25 PM   #4
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Quote:
 Originally Posted by csmlg1919 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 ...

August 27th, 2019, 04:40 PM   #5
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Quote:
 Originally Posted by csmlg1919 You mean like trigonometric functions or something more complicated?
That would depend on what you mean by "like" and "complicated".

 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

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