(851, #51) Evaluate where . [Hint: Exploit the fact that D is symmetric with respect to both axes.]

Solution:

The function tan(x) is an odd function of x , . Since the circular domain is symmetric with respect to the y-axis this means that

.

The function is also an odd function. Since the circular domain is symmetric with respect to the x-axis this means that .

No Maple Code for this problem.

Consequently

by: gm A A A A M