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There is a simple formula for calculating [tex] \frac{df(x)}{dx} u^n [/tex] where u is a function of x and n is a positive rational number: [tex] \frac{df(x)}{dx} u^n = nu^{n-1} \ast \frac{du}{dx} [/tex]. Is there a similar formula for calculating [tex] \int u^n dx [/tex] where u is a function of x and n is a positive rational number? It would be

P.S. I realize that the formula for [tex] \frac{df(x)}{dx} u^n [/tex] can be derived using the chain rule, so I was wondering if maybe the chain rule can somehow be applied in reverse for this problem?

*extremely*helpful if there was.P.S. I realize that the formula for [tex] \frac{df(x)}{dx} u^n [/tex] can be derived using the chain rule, so I was wondering if maybe the chain rule can somehow be applied in reverse for this problem?

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