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## Homework Statement

[tex]\int\frac{{\rm{d}}x}{1+2\sin^2 (x)}[/tex]

## Homework Equations

## The Attempt at a Solution

it's some sort of a derivative of arctan, however, when I try to substitute [itex]y = \sqrt{2}\sin(x),\ {\rm{d}}y = \sqrt{2}\cos(x){\rm{d}}x[/itex] I get nowhere with it, atleast I think, since there is a further complication, namely the dy. Suggestions, please.