Integration $0.538$ B) $0.558$ C) $30.538$ D) $1.538$ E) $4.538$

Multiple Choice

$\text { Evaluate the iterated integral } \int _ { 0 } ^ { 2 } \int _ { y ^ { 2 } } ^ { 4 } \sqrt { x } \sin ( 2 x ) d x d y \text { by switching the order of }$ integration. Round your answer to three decimal places.

A) $0.538$
B) $0.558$
C) $30.538$
D) $1.538$
E) $4.538$