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**[SOLVED] Need Help With a Double Integral**

Any help on the following integral would be appreciated. I don't know where to begin at all.

[tex]

\int_0^{1}\int_{arcsiny}^{\pi/2} sec^2(cosx) dxdy

[/tex]

I've thought about changing the order of integration, but I don't think that will help. I am not asking someone to solve this at all, just to point me in the right direction. Thanks for any and all help.