Find the antiderivative int (2-6z)^14dz square

Name: find the antiderivative int (2-6z)^14dz square
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Question

Answer 1

To find the antiderivative of the function \( (2-6z)^{14} \), we can use the substitution method. Let's set

. Then, we have:

Now, substitute

and

into the integral:

This simplifies to:

Next, we integrate

:

Putting it all together, we get:

Finally, substitute back

:

Therefore, the antiderivative

where

is the constant of integration.

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