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using the cos^2x + sin^2y identity

\[\int\limits_{1}^{4}\int\limits_{1}^{2}(x^2+y^2)/xy)dydx\]

why can't the x^2 + y^2 be set = 1

i think you are confusing a few things

was just kinda wondering when you can or can't use the x^2+y^2 = cos[x]^2 + sin[y]^2 = 1 identities

oh, i wrote it for the practice:)

:) heh

(..)^2 is not generally equativalent to the function trig^2(...)

You can use that identity to simplify integrals but you have to be carefull.

\[x^2+y^2\neq \cos^2x+\sin^2x\]

ah right but x^2/r^2 + y^2/r^2 = cos[x]^2 + sin[y]^2 = r^2 right?

no

Don't worry.

thta's some crazy cartesian-polar hybrid

hahaha

but its good to see you thinking outside the mathical box

ah i haven't read the chapter on polar stuff yet, so maybe i'll remedy things in the coming week :)

thank you all for the help!

welcome :)