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Differentiate w.r.t. x
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\sin(x)x_{44645}
Find the integral of \sin(x) using the table of common integrals rule \int a\mathrm{d}x_{44645}=ax_{44645}.
\sin(x)x_{44645}+С
If F\left(x_{44645}\right) is an antiderivative of f\left(x_{44645}\right), then the set of all antiderivatives of f\left(x_{44645}\right) is given by F\left(x_{44645}\right)+C. Therefore, add the constant of integration C\in \mathrm{R} to the result.