Evaluate the following iterated or double integrals by

Question

ITERATED INTEGRALS

Evaluate the following iterated or double integrals, by means of any technique you've learned so far.

1. _-1∫¹_-(√1-x²)∫^(√1-x2)(x²+y²)^3/2dy dx.

2. _-4∫⁴₀∫^(√16-y2)(16-x²-y²) dy dx.

3. ∫∫_R(x-y)(x²+y²+1)^-1dA dx. Where R is the region bounded by the unit circle centered at the origin.