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The value of the integral I = ∫ 0 π 2 sin 3 ⁡ x - cos 3 ⁡ x 1 + sin 6 ⁡ x cos 6 ⁡ x d x is equal to

Correct answer

0

Step-by-step solution

Applying a + b - x property, I = ∫ 0 π 2 cos 3 ⁡ x - sin 3 ⁡ x 1 + cos 6 ⁡ x sin 6 ⁡ x ⇒ I = - I ⇒ 2 I = 0 ⇒ I = 0

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