Reverse the Order of Integration and Then Evaluate the Integral $$\int _ { 0 } ^ { 3 } \int _ { x / 3 } ^ { 1 } 3 y ^ { 2 } \cos x y d y d x$$

Multiple Choice

Reverse the order of integration and then evaluate the integral.
- $$\int _ { 0 } ^ { 3 } \int _ { x / 3 } ^ { 1 } 3 y ^ { 2 } \cos x y d y d x$$

A) $5 ( 1 - \cos 3 )$
B) $\cos 3 - 1$
C) $\frac { 1 } { 2 } ( 1 - \cos 3 )$
D) $3 ( 1 - \cos 3 )$