SOLUTION: Find an antiderivative for −5 ( −4 x^2−1 )^2

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Question 971771: Find an antiderivative for −5 ( −4 x^2−1 )^2
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
Find an antiderivative for 


Since that has 3 terms, 

Let an antiderivative be = 

the derivative of  is 

Therefore 

Write the 5 as 



Set the corresponding exponents equal to each other

, , 

Solve for the exponents:

, , 

Substituting,





Set the coefficients of like powers of x equal to each other

, , 

, , 

Substituting those and , , 

So an antiderivative = 

Answer:  

Edwin
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