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

question 128

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) \(3 ( 1 - \cos 3 )\)

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