How would you Solve this Integral not using a Table

  • #1

Homework Statement


I have to figure out how to solve this integral without a table : int((2r/sqrt(r^2-s^2))*(1/2)*(R-r)^2),x,s,R) where R and s are constant parameters in the function.


Homework Equations





The Attempt at a Solution


So far i have tried breaking the function up and i got the indefinite integral down to : ∫(rR^2)/(√(r^2-S^2) ⅆr-∫(Rr^2)/√(r^2-S^2 ) ⅆr+∫r^3/√(r^2-S^2 ) ⅆr
so far i have been able to solve the integral with the R^2 term and the r^3 term (if anyone is curious on how i did this i will post my work but until then ill just leave it out) but i cant figure out how to do the middle one: ∫(Rr^2)/√(r^2-S^2 ) ⅆr without using the table i simply dont even know where to begin.

Can someone help me please, and or if you know an easier way to do the original integral it would help me a lot. thanks
 

Answers and Replies

  • #2
912
19
storm, i can't understand your integral. would be nice if you can use latex or post some
pic

newton
 
  • #3
I actually just figured out how to do it however, in the future if i post another quesiton how do i use latex?
 
  • #4
631
0
Click on Go Advanced (just below this message box). I really wish there was an easier way to tex. (Or maybe there is and I don't know about it?)
 
  • #5
34,975
6,727
I actually just figured out how to do it however, in the future if i post another quesiton how do i use latex?

Click on Go Advanced (just below this message box). I really wish there was an easier way to tex. (Or maybe there is and I don't know about it?)

https://www.physicsforums.com/showthread.php?t=386951 [Broken]
 
Last edited by a moderator:
  • #6
631
0
Thank you!
 

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