What is the step of integrating this?

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SUMMARY

The discussion focuses on the integration of the expression \(\int \frac{d^n [(x^2-1)^n]}{dx^n}dx\). Alan seeks guidance on how to approach this integration problem, specifically looking for substitution hints. The responses reference the fundamental theorem of calculus, confirming that the integral of a derivative yields the original function plus a constant. Additionally, the differentiation of the expression is broken down using the chain rule.

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Homework Statement


I need help in finding the answer of this integration:

[tex]\int \frac{d^n [(x^2-1)^n]}{dx^n}dx[/tex]


I have no idea how to even start, please at least give me hints how to substitude.

Thanks

Alan
 
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Doesn't the fundamental theorem of calculus say that[tex] \int \frac{df(x)}{dx} dx = f(x) + [/tex]

? And

[tex] \frac{d^n [(x^2-1)^n]}{dx^n} = \frac{d}{dx} \frac{d^{n-1} [(x^2-1)^n]}{dx^{n-1}}[/tex]
 
I see, thanks for your time.
 

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