# Help with an integral

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

$$\int c*\sin{(\arctan{f(t))}} dt$$?

arildno
Homework Helper
Gold Member
Dearly Missed
Remember:
$$x=tan(\arctan(x))=\frac{\sin(\arctan(x))}{\sqrt{1-\sin^{2}(\arctan(x)}}$$

Solve for sin(arctan(x))

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!