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

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