Int( X/(x+2)^(1/4)) substitutions

  • Thread starter Thread starter steve092
  • Start date Start date
steve092
Messages
10
Reaction score
0

Homework Statement


I'm having a problem with U-Substitution. I get the simple stuff and the trig substitutions, but this problem has been bugging me.
Int( X/(x+2)^(1/4))


Homework Equations





The Attempt at a Solution


I first tried u=x+2 and then du=dx. I then solved for x, where x= U-2.

That put me at Int( (u-2)/(u^(1/4)). And that's where I don't really know how to go on.
 
Physics news on Phys.org


You can split (u-2)/u1/4 as u/u1/4-2/u1/4.
 


So split it then integrate it from there?
 


Thanks for the help. I got:
(4/7)(x+2)^(7/4) - (8/3)(x+2)^(3/4) +C.
 


steve092 said:
Thanks for the help. I got:
(4/7)(x+2)^(7/4) - (8/3)(x+2)^(3/4) +C.

That should be correct.
 
Thread 'Use greedy vertex coloring algorithm to prove the upper bound of χ'
Hi! I am struggling with the exercise I mentioned under "Homework statement". The exercise is about a specific "greedy vertex coloring algorithm". One definition (which matches what my book uses) can be found here: https://people.cs.uchicago.edu/~laci/HANDOUTS/greedycoloring.pdf Here is also a screenshot of the relevant parts of the linked PDF, i.e. the def. of the algorithm: Sadly I don't have much to show as far as a solution attempt goes, as I am stuck on how to proceed. I thought...
Back
Top