I know that the formula for integration by parts is $S=\int udv=uv-\int vu'dx$ but what happens if my integral has some constant say $5S$... where would I put the constant?
2026-05-05 08:28:33.1777969713
Integration by parts constant before the integral
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$$c \int f(x) dg(x) = c\left(f(x)g(x) - \int g(x)df(x)\right) = cf(x)g(x) - c\int g(x)df(x)$$