Evaluate
x_{47821524}x^{\frac{1}{x-1}}+С
Differentiate w.r.t. x
\frac{x_{47821524}x^{-1+\frac{1}{x-1}}\left(-x\ln(x)+x-1\right)}{\left(x-1\right)^{2}}
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x^{\frac{1}{x-1}}x_{47821524}
Find the integral of x^{\frac{1}{x-1}} using the table of common integrals rule \int a\mathrm{d}x_{47821524}=ax_{47821524}.
x^{\frac{1}{x-1}}x_{47821524}+С
If F\left(x_{47821524}\right) is an antiderivative of f\left(x_{47821524}\right), then the set of all antiderivatives of f\left(x_{47821524}\right) is given by F\left(x_{47821524}\right)+C. Therefore, add the constant of integration C\in \mathrm{R} to the result.
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