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The value of ∫ [sin 2x(1 + cos 3x)] x ∈[0, 2π] dx, where [t] denotes the greatest integer function is :

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The value of ∫[sin 2x(1 + cos 3x)]  x ∈[0,  2π]  dx, where [t] denotes the greatest integer function is :

(1)  2π  (2) π  (3) –2π  (4) –π 

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Correct option (4) –π 

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