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