# How do you find the integral of #int cos^2theta#?

Use the double angle formula for cosine to reduce the exponent.

Therefore, the integral is

#int cos^2theta d(theta)=int 1/2*(1+cos2theta) (d theta)= theta/2+1/4*sin2theta+c#

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The integral of ( \cos^2(\theta) ) with respect to ( \theta ) can be evaluated using trigonometric identities and integration techniques. One common method involves using the double-angle identity for cosine, which states that ( \cos^2(\theta) = \frac{1 + \cos(2\theta)}{2} ). Then, integrate the resulting 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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