Help with an integral

  • Thread starter FunkyDwarf
  • Start date
  • #1
489
0
Hey guys,

im completely stumped on this one. I had to go through several substitutions just to get it to this stage which is uninspiriring :P

Integral wrt t of c*Sin[ArcTan[(f(t)]] where f(t) is a linear function of t

Sorry, i cant use latex to save my life :p
-G
 

Answers and Replies

  • #2
1,341
3
[tex]\int c*\sin{(\arctan{f(t))}} dt[/tex]?
 
  • #3
arildno
Science Advisor
Homework Helper
Gold Member
Dearly Missed
9,970
132
Remember:
[tex]x=tan(\arctan(x))=\frac{\sin(\arctan(x))}{\sqrt{1-\sin^{2}(\arctan(x)}}[/tex]

Solve for sin(arctan(x))
 
  • #4
489
0
Ah yeh of course, i was worried about applying inverse sin to the top and bottom equally but you sort of can because you know what sine is from the substitution and so can get cos. Thanks!
 

Related Threads on Help with an integral

  • Last Post
Replies
3
Views
888
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
8
Views
1K
  • Last Post
Replies
6
Views
1K
  • Last Post
Replies
3
Views
2K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
5
Views
2K
  • Last Post
Replies
6
Views
1K
  • Last Post
Replies
12
Views
2K
Top