SOLUTION: Find an antiderivative for −7 ( −6 x−5 )^(1/8)

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Question 971772: Find an antiderivative for −7 ( −6 x−5 )^(1/8)

Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
Find an antiderivative for 
Let an antiderivative be = 

the derivative of  is 

Therefore 

Set the bases equal to each other and the exponents equal to each other

 and 

Take the derivative; solve for n

 and 

Substituting,



Multiply both sides by 8 to clear the fraction:

 



Divide both sides by 







So an antiderivative = 

Edwin
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