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