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Calculus Problem!

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Does anyone know how to integrate this expression for x please?:

 

ln(ax^n + c)

 

a, n and c are of course constants, and bot a and c should be positive but n will tend to be negative.

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Does anyone know how to integrate this expression for x please?:
 
ln(ax^n + c)
 
a, n and c are of course constants, and bot a and c should be positive but n will tend to be negative.


Why are you trying to do that? Without context it's hard to know if using a numerical method would be acceptable, for instance.

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I don't suppose these links will provide proofs will they?  Jesus, I didn't realize it would involve the hypergeometric function!

It might not, I'm not an expert at putting things in Wolfram so the links may be incorrect. It can show the steps but I think you need a paid account for that.

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