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Rules for integration of general functions

\int cf(x)\,dx = c\int f(x)\,dx

\int [f(x) + g(x)]\,dx = \int f(x)\,dx + \int g(x)\,dx

\int f(x)g(x)\,dx = f(x)\int g(x)\,dx - \int \left(d[f(x)]\int g(x)\,dx\right)
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