How do you integrate #1 / (x^5)#?
where c is the constant of integration.
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To integrate ( \frac{1}{x^5} ), use the following steps:
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Rewrite the expression as a power: ( \frac{1}{x^5} = x^{-5} )
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Apply the power rule of integration: ( \int x^n , dx = \frac{x^{n+1}}{n+1} + C ), where ( n \neq -1 )
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Apply the power rule to ( x^{-5} ): ( \int x^{-5} , dx = \frac{x^{-5+1}}{-5+1} + C ) ( = \frac{x^{-4}}{-4} + C )
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Simplify: ( = -\frac{1}{4x^4} + C )
Therefore, the integral of ( \frac{1}{x^5} ) is ( -\frac{1}{4x^4} + C ).
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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.
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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