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How would I integrate?

  • Thread starter Litcyb
  • Start date
  • #1
36
0

Homework Statement



integrate 2t^(2)/(1+t^2)^(2)

Homework Equations



trig sub 1+tan^2(x)= sec^2(x)

The Attempt at a Solution


the attempted solution is attached.
 

Attachments

Answers and Replies

  • #2
ehild
Homework Helper
15,408
1,810
Your derivation is not correct and the method you follow is a bit complicated. Try integration by parts, ∫u'vdt=uv-∫uv'dt, with u'=2t/(1+t^2)^2 and v=t.

ehild
 
Last edited:
  • #3
SteamKing
Staff Emeritus
Science Advisor
Homework Helper
12,798
1,666
If y = (1/3)t + C, then dy/dt = 1/3, which is clearly not even remotely close to the original integrand.
 
  • #4
36
0
omg! i knowwwwwwwwwwwwwwwwww! i did it. that was so stupid of me. thank you.
 

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