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Question

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

A 1/2 sin 2x Correct Incorrect

B 1/3 sin 2x Correct Incorrect

C 1/4 sin 2x Correct Incorrect

D 1/9 sin 2x Correct Incorrect

Detailed 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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