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    Question

    Which of the following is an anti-derivative of cos 2x.

    A 1/2 sin 2x Correct Answer Incorrect Answer
    B 1/3 sin 2x Correct Answer Incorrect Answer
    C 1/4 sin 2x Correct Answer Incorrect Answer
    D 1/9 sin 2x Correct Answer Incorrect Answer

    Solution

    We look for a function whose derivative is cos 2x. We know that; d/dx (sin 2x) = 2 cos 2x or cos 2x = 1/2 d/dx (sin 2x) = d/dx (1/2 sin 2x) Therefore, an anti-derivative of cos 2x is 1/2 sin 2x.

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