How do you find the integral of #int (cosx)^4 dx#?
The answer is
Consequently,
Consequently,
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To find the integral of ( \int (\cos x)^4 , dx ), you can use trigonometric identities and integration techniques. One common approach is to use the reduction formula for powers of cosine.

Start by applying the powerreducing identity for cosine: [ (\cos x)^4 = (\cos^2 x)^2 = (\frac{1 + \cos(2x)}{2})^2 ]

Expand ( (\frac{1 + \cos(2x)}{2})^2 ) and simplify.

Integrate the resulting expression.

Finally, don't forget to include the constant of integration ( + C ).
If you need further assistance with the specific steps or if you have any questions regarding the process, feel free to ask!
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When evaluating a onesided 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 onesided 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 onesided 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 onesided 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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