Evaluate \(\int_0^∞ \int_0^∞ e^{-(x^2+y^2 )} dxdy \) by changing into polar coordinates.

Evaluate \(\int_0^∞ \int_0^∞ e^{-(x^2+y^2 )} dxdy \) by changing

1.	Evaluate \(\int_0^∞ \int_0^∞ e^{-(x^2+y^2 )} dxdy \) by changing into polar coordinates.
A.	\( \pi \)
B.	\( \frac{\pi}{2} \)
C.	\( \frac{\pi}{4} \)
D.	\( \frac{\pi}{8} \)
Answer» D. \( \frac{\pi}{8} \)