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How do you integrate cos^2(x)?

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How do I integrate cos^2(x)? Please help me with this and include explanations so I can understand it.

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Solution Summary

The steps for integrating cos^2(x) are shown with explanations.

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See the attached solution file.

To handle , first use the trig identity . This step does not involve any calculus; we are simply using a trigonometric transformation to put the problem into a form that can be integrated.

Now factor the division by 2 out of ...

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