Let $a$, $b$, and $c$ be positive constants with $0 < a < 1 < b < c$, and let $R$ be any region in the plane. By considering Riemann sums, order the three integrals
(1) $\frac{a}{1 + b x^2 + y^2}$
(2) $\frac{1}{1 + x^2 + y^2}$
(3) $\frac{a}{c + b x^2 + y^2}$.

? (1) (2) (3) $<$ ? (1) (2) (3) $<$ ? (1) (2) (3)
(Be sure you can explain how you could show your answer is correct by considering Riemann sums.)