# How do you integrate #int (5x+4)^5# using substitution?

Please see the explanation.

Reverse the substitution:

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Please see the explanation.

Reverse the substitution:

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To integrate ( \int (5x+4)^5 ) using substitution, you can let ( u = 5x + 4 ). Then, find ( du ) by taking the derivative of ( u ) with respect to ( x ). Afterward, substitute ( u ) and ( du ) into the integral, and rewrite it in terms of ( u ). Finally, integrate the resulting expression with respect to ( u ), and then substitute back ( 5x + 4 ) for ( u ) to obtain the final answer.

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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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