Evaluate the integral $$\int_0^{2}\int_y^{2} \sin(x^2)\ dx\,dy$$ by reversing the order of integration.

With order reversed, $$\int_a^b\int_c^d \sin(x^2)\ dy\,dx,$$ where $a =$ , $b =$ , $c =$ , and $d =$ .

Evaluating the integral, $\int_0^{2}\int_y^{2} \sin(x^2)\ dx\,dy =$