# How do you find the integral of #int (1 + cos x)^2 dx#?

First, apply the perfect square formula to expand the integrand.

Use the power rule or standard integrals to integrate each term.

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To find the integral of ∫(1 + cos x)^2 dx, you can expand the expression (1 + cos x)^2, which yields 1 + 2cos(x) + cos^2(x). Then, you can use trigonometric identities to rewrite cos^2(x) in terms of 1 + cos(2x)/2. Substituting these expressions back into the integral, you will have a polynomial in terms of cos(x). You can then integrate each term individually, which will involve straightforward power rule integration and trigonometric substitutions. Finally, you can simplify the result to obtain the integral of the original expression.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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